What is the Least Common Multiple of 90744 and 90764?

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 90744 and 90764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90744 and 90764, than apply into the LCM equation.

GCF(90744,90764) = 4
LCM(90744,90764) = ( 90744 × 90764) / 4
LCM(90744,90764) = 8236288416 / 4
LCM(90744,90764) = 2059072104

Least Common Multiple (LCM) of 90744 and 90764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90744 and 90764. First we will calculate the prime factors of 90744 and 90764.

Prime Factorization of 90744

Prime Factorization of 90764

Now multiplying the highest exponent prime factors to calculate the LCM of 90744 and 90764.

LCM(90744,90764) = 2³ × 3¹ × 19¹ × 199¹ × 22691¹
LCM(90744,90764) = 2059072104