What is the Least Common Multiple of 8972 and 8988?

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 8988 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 8988, than apply into the LCM equation.

GCF(8972,8988) = 4
LCM(8972,8988) = ( 8972 × 8988) / 4
LCM(8972,8988) = 80640336 / 4
LCM(8972,8988) = 20160084

Least Common Multiple (LCM) of 8972 and 8988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8988. First we will calculate the prime factors of 8972 and 8988.

Prime Factorization of 8972

Prime Factorization of 8988

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8988.

LCM(8972,8988) = 2² × 2243¹ × 3¹ × 7¹ × 107¹
LCM(8972,8988) = 20160084