What is the Least Common Multiple of 57642 and 57646?

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 57646 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 57646, than apply into the LCM equation.

GCF(57642,57646) = 2
LCM(57642,57646) = ( 57642 × 57646) / 2
LCM(57642,57646) = 3322830732 / 2
LCM(57642,57646) = 1661415366

Least Common Multiple (LCM) of 57642 and 57646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57642 and 57646. First we will calculate the prime factors of 57642 and 57646.

Prime Factorization of 57642

Prime Factorization of 57646

Now multiplying the highest exponent prime factors to calculate the LCM of 57642 and 57646.

LCM(57642,57646) = 2¹ × 3¹ × 13¹ × 739¹ × 19¹ × 37¹ × 41¹
LCM(57642,57646) = 1661415366