What is the Least Common Multiple of 90424 and 90436?

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 90424 and 90436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90424 and 90436, than apply into the LCM equation.

GCF(90424,90436) = 4
LCM(90424,90436) = ( 90424 × 90436) / 4
LCM(90424,90436) = 8177584864 / 4
LCM(90424,90436) = 2044396216

Least Common Multiple (LCM) of 90424 and 90436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90424 and 90436. First we will calculate the prime factors of 90424 and 90436.

Prime Factorization of 90424

Prime Factorization of 90436

Now multiplying the highest exponent prime factors to calculate the LCM of 90424 and 90436.

LCM(90424,90436) = 2³ × 89¹ × 127¹ × 23¹ × 983¹
LCM(90424,90436) = 2044396216