What is the Least Common Multiple of 57642 and 57656?

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 57642 and 57656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57642 and 57656, than apply into the LCM equation.

GCF(57642,57656) = 2
LCM(57642,57656) = ( 57642 × 57656) / 2
LCM(57642,57656) = 3323407152 / 2
LCM(57642,57656) = 1661703576

Least Common Multiple (LCM) of 57642 and 57656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57642 and 57656. First we will calculate the prime factors of 57642 and 57656.

Prime Factorization of 57642

Prime Factorization of 57656

Now multiplying the highest exponent prime factors to calculate the LCM of 57642 and 57656.

LCM(57642,57656) = 2³ × 3¹ × 13¹ × 739¹ × 7207¹
LCM(57642,57656) = 1661703576