What is the Least Common Multiple of 90975 and 90983?

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 90975 and 90983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90975 and 90983, than apply into the LCM equation.

GCF(90975,90983) = 1
LCM(90975,90983) = ( 90975 × 90983) / 1
LCM(90975,90983) = 8277178425 / 1
LCM(90975,90983) = 8277178425

Least Common Multiple (LCM) of 90975 and 90983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90975 and 90983. First we will calculate the prime factors of 90975 and 90983.

Prime Factorization of 90975

Prime Factorization of 90983

Now multiplying the highest exponent prime factors to calculate the LCM of 90975 and 90983.

LCM(90975,90983) = 3¹ × 5² × 1213¹ × 37¹ × 2459¹
LCM(90975,90983) = 8277178425