What is the Least Common Multiple of 89972 and 89976?

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 89972 and 89976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89972 and 89976, than apply into the LCM equation.

GCF(89972,89976) = 4
LCM(89972,89976) = ( 89972 × 89976) / 4
LCM(89972,89976) = 8095320672 / 4
LCM(89972,89976) = 2023830168

Least Common Multiple (LCM) of 89972 and 89976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89972 and 89976. First we will calculate the prime factors of 89972 and 89976.

Prime Factorization of 89972

Prime Factorization of 89976

Now multiplying the highest exponent prime factors to calculate the LCM of 89972 and 89976.

LCM(89972,89976) = 2³ × 83¹ × 271¹ × 3¹ × 23¹ × 163¹
LCM(89972,89976) = 2023830168