What is the Least Common Multiple of 90724 and 90733?

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 90724 and 90733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90724 and 90733, than apply into the LCM equation.

GCF(90724,90733) = 1
LCM(90724,90733) = ( 90724 × 90733) / 1
LCM(90724,90733) = 8231660692 / 1
LCM(90724,90733) = 8231660692

Least Common Multiple (LCM) of 90724 and 90733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90724 and 90733. First we will calculate the prime factors of 90724 and 90733.

Prime Factorization of 90724

Prime Factorization of 90733

Now multiplying the highest exponent prime factors to calculate the LCM of 90724 and 90733.

LCM(90724,90733) = 2² × 37¹ × 613¹ × 41¹ × 2213¹
LCM(90724,90733) = 8231660692