What is the Least Common Multiple of 63172 and 63189?

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 63172 and 63189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63172 and 63189, than apply into the LCM equation.

GCF(63172,63189) = 17
LCM(63172,63189) = ( 63172 × 63189) / 17
LCM(63172,63189) = 3991775508 / 17
LCM(63172,63189) = 234810324

Least Common Multiple (LCM) of 63172 and 63189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63172 and 63189. First we will calculate the prime factors of 63172 and 63189.

Prime Factorization of 63172

Prime Factorization of 63189

Now multiplying the highest exponent prime factors to calculate the LCM of 63172 and 63189.

LCM(63172,63189) = 2² × 17¹ × 929¹ × 3² × 7¹ × 59¹
LCM(63172,63189) = 234810324