What is the Least Common Multiple of 90524 and 90538?

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 90524 and 90538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90524 and 90538, than apply into the LCM equation.

GCF(90524,90538) = 14
LCM(90524,90538) = ( 90524 × 90538) / 14
LCM(90524,90538) = 8195861912 / 14
LCM(90524,90538) = 585418708

Least Common Multiple (LCM) of 90524 and 90538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90524 and 90538. First we will calculate the prime factors of 90524 and 90538.

Prime Factorization of 90524

Prime Factorization of 90538

Now multiplying the highest exponent prime factors to calculate the LCM of 90524 and 90538.

LCM(90524,90538) = 2² × 7¹ × 53¹ × 61¹ × 29¹ × 223¹
LCM(90524,90538) = 585418708