What is the Least Common Multiple of 88996 and 89012?

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 88996 and 89012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88996 and 89012, than apply into the LCM equation.

GCF(88996,89012) = 4
LCM(88996,89012) = ( 88996 × 89012) / 4
LCM(88996,89012) = 7921711952 / 4
LCM(88996,89012) = 1980427988

Least Common Multiple (LCM) of 88996 and 89012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88996 and 89012. First we will calculate the prime factors of 88996 and 89012.

Prime Factorization of 88996

Prime Factorization of 89012

Now multiplying the highest exponent prime factors to calculate the LCM of 88996 and 89012.

LCM(88996,89012) = 2² × 19¹ × 1171¹ × 7¹ × 11¹ × 17²
LCM(88996,89012) = 1980427988