What is the Least Common Multiple of 63174 and 63192?

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 63174 and 63192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63174 and 63192, than apply into the LCM equation.

GCF(63174,63192) = 6
LCM(63174,63192) = ( 63174 × 63192) / 6
LCM(63174,63192) = 3992091408 / 6
LCM(63174,63192) = 665348568

Least Common Multiple (LCM) of 63174 and 63192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63174 and 63192. First we will calculate the prime factors of 63174 and 63192.

Prime Factorization of 63174

Prime Factorization of 63192

Now multiplying the highest exponent prime factors to calculate the LCM of 63174 and 63192.

LCM(63174,63192) = 2³ × 3¹ × 10529¹ × 2633¹
LCM(63174,63192) = 665348568