What is the Least Common Multiple of 90732 and 90743?

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 90732 and 90743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90732 and 90743, than apply into the LCM equation.

GCF(90732,90743) = 1
LCM(90732,90743) = ( 90732 × 90743) / 1
LCM(90732,90743) = 8233293876 / 1
LCM(90732,90743) = 8233293876

Least Common Multiple (LCM) of 90732 and 90743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90732 and 90743. First we will calculate the prime factors of 90732 and 90743.

Prime Factorization of 90732

Prime Factorization of 90743

Now multiplying the highest exponent prime factors to calculate the LCM of 90732 and 90743.

LCM(90732,90743) = 2² × 3¹ × 7561¹ × 103¹ × 881¹
LCM(90732,90743) = 8233293876