What is the Least Common Multiple of 8972 and 8982?

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 8972 and 8982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8972 and 8982, than apply into the LCM equation.

GCF(8972,8982) = 2
LCM(8972,8982) = ( 8972 × 8982) / 2
LCM(8972,8982) = 80586504 / 2
LCM(8972,8982) = 40293252

Least Common Multiple (LCM) of 8972 and 8982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8982. First we will calculate the prime factors of 8972 and 8982.

Prime Factorization of 8972

Prime Factorization of 8982

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8982.

LCM(8972,8982) = 2² × 2243¹ × 3² × 499¹
LCM(8972,8982) = 40293252