What is the Least Common Multiple of 8972 and 8992?

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 8992 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 8992, than apply into the LCM equation.

GCF(8972,8992) = 4
LCM(8972,8992) = ( 8972 × 8992) / 4
LCM(8972,8992) = 80676224 / 4
LCM(8972,8992) = 20169056

Least Common Multiple (LCM) of 8972 and 8992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8992. First we will calculate the prime factors of 8972 and 8992.

Prime Factorization of 8972

Prime Factorization of 8992

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8992.

LCM(8972,8992) = 2⁵ × 2243¹ × 281¹
LCM(8972,8992) = 20169056