What is the Least Common Multiple of 88625 and 88645?

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 88625 and 88645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88625 and 88645, than apply into the LCM equation.

GCF(88625,88645) = 5
LCM(88625,88645) = ( 88625 × 88645) / 5
LCM(88625,88645) = 7856163125 / 5
LCM(88625,88645) = 1571232625

Least Common Multiple (LCM) of 88625 and 88645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88625 and 88645. First we will calculate the prime factors of 88625 and 88645.

Prime Factorization of 88625

Prime Factorization of 88645

Now multiplying the highest exponent prime factors to calculate the LCM of 88625 and 88645.

LCM(88625,88645) = 5³ × 709¹ × 17729¹
LCM(88625,88645) = 1571232625