What is the Least Common Multiple of 90294 and 90312?

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 90294 and 90312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90294 and 90312, than apply into the LCM equation.

GCF(90294,90312) = 6
LCM(90294,90312) = ( 90294 × 90312) / 6
LCM(90294,90312) = 8154631728 / 6
LCM(90294,90312) = 1359105288

Least Common Multiple (LCM) of 90294 and 90312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90294 and 90312. First we will calculate the prime factors of 90294 and 90312.

Prime Factorization of 90294

Prime Factorization of 90312

Now multiplying the highest exponent prime factors to calculate the LCM of 90294 and 90312.

LCM(90294,90312) = 2³ × 3¹ × 101¹ × 149¹ × 53¹ × 71¹
LCM(90294,90312) = 1359105288