What is the Least Common Multiple of 94212 and 94230?

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 94212 and 94230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94212 and 94230, than apply into the LCM equation.

GCF(94212,94230) = 18
LCM(94212,94230) = ( 94212 × 94230) / 18
LCM(94212,94230) = 8877596760 / 18
LCM(94212,94230) = 493199820

Least Common Multiple (LCM) of 94212 and 94230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94212 and 94230. First we will calculate the prime factors of 94212 and 94230.

Prime Factorization of 94212

Prime Factorization of 94230

Now multiplying the highest exponent prime factors to calculate the LCM of 94212 and 94230.

LCM(94212,94230) = 2² × 3³ × 2617¹ × 5¹ × 349¹
LCM(94212,94230) = 493199820