What is the Least Common Multiple of 2652 and 2656?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 2652 and 2656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2652 and 2656, than apply into the LCM equation.

GCF(2652,2656) = 4
LCM(2652,2656) = ( 2652 × 2656) / 4
LCM(2652,2656) = 7043712 / 4
LCM(2652,2656) = 1760928

Least Common Multiple (LCM) of 2652 and 2656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2652 and 2656. First we will calculate the prime factors of 2652 and 2656.

Prime Factorization of 2652

Prime Factorization of 2656

Now multiplying the highest exponent prime factors to calculate the LCM of 2652 and 2656.

LCM(2652,2656) = 2⁵ × 3¹ × 13¹ × 17¹ × 83¹
LCM(2652,2656) = 1760928