What is the Least Common Multiple of 96204 and 96212?

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 96204 and 96212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96204 and 96212, than apply into the LCM equation.

GCF(96204,96212) = 4
LCM(96204,96212) = ( 96204 × 96212) / 4
LCM(96204,96212) = 9255979248 / 4
LCM(96204,96212) = 2313994812

Least Common Multiple (LCM) of 96204 and 96212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96204 and 96212. First we will calculate the prime factors of 96204 and 96212.

Prime Factorization of 96204

Prime Factorization of 96212

Now multiplying the highest exponent prime factors to calculate the LCM of 96204 and 96212.

LCM(96204,96212) = 2² × 3¹ × 8017¹ × 67¹ × 359¹
LCM(96204,96212) = 2313994812