What is the Least Common Multiple of 88900 and 88915?

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 88900 and 88915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88900 and 88915, than apply into the LCM equation.

GCF(88900,88915) = 5
LCM(88900,88915) = ( 88900 × 88915) / 5
LCM(88900,88915) = 7904543500 / 5
LCM(88900,88915) = 1580908700

Least Common Multiple (LCM) of 88900 and 88915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88900 and 88915. First we will calculate the prime factors of 88900 and 88915.

Prime Factorization of 88900

Prime Factorization of 88915

Now multiplying the highest exponent prime factors to calculate the LCM of 88900 and 88915.

LCM(88900,88915) = 2² × 5² × 7¹ × 127¹ × 17783¹
LCM(88900,88915) = 1580908700