What is the Least Common Multiple of 92646 and 92656?

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 92646 and 92656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92646 and 92656, than apply into the LCM equation.

GCF(92646,92656) = 2
LCM(92646,92656) = ( 92646 × 92656) / 2
LCM(92646,92656) = 8584207776 / 2
LCM(92646,92656) = 4292103888

Least Common Multiple (LCM) of 92646 and 92656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92646 and 92656. First we will calculate the prime factors of 92646 and 92656.

Prime Factorization of 92646

Prime Factorization of 92656

Now multiplying the highest exponent prime factors to calculate the LCM of 92646 and 92656.

LCM(92646,92656) = 2⁴ × 3² × 5147¹ × 5791¹
LCM(92646,92656) = 4292103888