What is the Least Common Multiple of 93632 and 93646?

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 93632 and 93646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93632 and 93646, than apply into the LCM equation.

GCF(93632,93646) = 14
LCM(93632,93646) = ( 93632 × 93646) / 14
LCM(93632,93646) = 8768262272 / 14
LCM(93632,93646) = 626304448

Least Common Multiple (LCM) of 93632 and 93646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93632 and 93646. First we will calculate the prime factors of 93632 and 93646.

Prime Factorization of 93632

Prime Factorization of 93646

Now multiplying the highest exponent prime factors to calculate the LCM of 93632 and 93646.

LCM(93632,93646) = 2⁶ × 7¹ × 11¹ × 19¹ × 6689¹
LCM(93632,93646) = 626304448