Least Common Multiple (LCM)

Define Lowest Common Multiple with an example.

We define LCM or the Lowest Common Multiple of two numbers as the number that is lowest in value and is the multiple of both numbers. For example, the Lowest Common Multiple(LCM) of 5 and 15 is 15.

How to Find the Least Common Multiple (LCM)?

Least Common Multiple (LCM) can easily be calculated using the given methods,

• Listing Method
• Prime Factorization Method
• Division Method

All these methods are discussed in the article.

What is the LCM of two Prime Numbers?

LCM of two prime numbers is the product of the numbers.

What is Relation Between HCF and LCM?

Relation between HCF and LCM is, for two numbers ‘a’ and ‘b’.

• “Product of a and b is equal to the product of HCF and LCM”
• LCM(a, b) × HCF(a, b) = a × b

What is the LCM of 25 and 75?

LCM of 25 and 75 is 75.

What is the LCM of 12 and 8?

LCM of 8 and 12 is 24.

What is the LCM of 24 and 36?

LCM of 24 and 36 is 72.

Can LCM of two numbers be smaller than both numbers?

No, the LCM of two numbers is always greater than or equal to the larger of the two numbers.

Can LCM of a set of numbers be zero?

No, the LCM of a set of numbers is always a positive integer.

Is LCM commutative?

Yes, the LCM is commutative, meaning that LCM(a, b) = LCM(b, a).

Can LCM of two numbers be equal to one of the numbers?

Yes, if one of the numbers is a factor of the other, then the LCM can be equal to the larger number.

What is Least Common Multiple Calculator?

Least Common Multiple (LCM) calculator is a tool or mathematical utility that calculates the least common multiple of two or more numbers. The LCM of two or more numbers is the smallest multiple that is evenly divisible by each of those numbers.

To find the LCM of two numbers, identify their prime factors and calculate the product of the highest powers of these factors.