What is the Least Common Multiple of 56646 and 56656?

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 56646 and 56656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56646 and 56656, than apply into the LCM equation.

GCF(56646,56656) = 2
LCM(56646,56656) = ( 56646 × 56656) / 2
LCM(56646,56656) = 3209335776 / 2
LCM(56646,56656) = 1604667888

Least Common Multiple (LCM) of 56646 and 56656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56646 and 56656. First we will calculate the prime factors of 56646 and 56656.

Prime Factorization of 56646

Prime Factorization of 56656

Now multiplying the highest exponent prime factors to calculate the LCM of 56646 and 56656.

LCM(56646,56656) = 2⁴ × 3³ × 1049¹ × 3541¹
LCM(56646,56656) = 1604667888