What is the Least Common Multiple of 90738 and 90744?

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 90738 and 90744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90738 and 90744, than apply into the LCM equation.

GCF(90738,90744) = 6
LCM(90738,90744) = ( 90738 × 90744) / 6
LCM(90738,90744) = 8233929072 / 6
LCM(90738,90744) = 1372321512

Least Common Multiple (LCM) of 90738 and 90744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90738 and 90744. First we will calculate the prime factors of 90738 and 90744.

Prime Factorization of 90738

Prime Factorization of 90744

Now multiplying the highest exponent prime factors to calculate the LCM of 90738 and 90744.

LCM(90738,90744) = 2³ × 3² × 71² × 19¹ × 199¹
LCM(90738,90744) = 1372321512