What is the Least Common Multiple of 9204 and 9212?

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 9204 and 9212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9204 and 9212, than apply into the LCM equation.

GCF(9204,9212) = 4
LCM(9204,9212) = ( 9204 × 9212) / 4
LCM(9204,9212) = 84787248 / 4
LCM(9204,9212) = 21196812

Least Common Multiple (LCM) of 9204 and 9212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9204 and 9212. First we will calculate the prime factors of 9204 and 9212.

Prime Factorization of 9204

Prime Factorization of 9212

Now multiplying the highest exponent prime factors to calculate the LCM of 9204 and 9212.

LCM(9204,9212) = 2² × 3¹ × 13¹ × 59¹ × 7² × 47¹
LCM(9204,9212) = 21196812