What is the Least Common Multiple of 88194 and 88212?

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 88194 and 88212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88194 and 88212, than apply into the LCM equation.

GCF(88194,88212) = 6
LCM(88194,88212) = ( 88194 × 88212) / 6
LCM(88194,88212) = 7779769128 / 6
LCM(88194,88212) = 1296628188

Least Common Multiple (LCM) of 88194 and 88212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88194 and 88212. First we will calculate the prime factors of 88194 and 88212.

Prime Factorization of 88194

Prime Factorization of 88212

Now multiplying the highest exponent prime factors to calculate the LCM of 88194 and 88212.

LCM(88194,88212) = 2² × 3¹ × 14699¹ × 7351¹
LCM(88194,88212) = 1296628188