What is the Least Common Multiple of 88375 and 88380?

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 88375 and 88380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88375 and 88380, than apply into the LCM equation.

GCF(88375,88380) = 5
LCM(88375,88380) = ( 88375 × 88380) / 5
LCM(88375,88380) = 7810582500 / 5
LCM(88375,88380) = 1562116500

Least Common Multiple (LCM) of 88375 and 88380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88375 and 88380. First we will calculate the prime factors of 88375 and 88380.

Prime Factorization of 88375

Prime Factorization of 88380

Now multiplying the highest exponent prime factors to calculate the LCM of 88375 and 88380.

LCM(88375,88380) = 5³ × 7¹ × 101¹ × 2² × 3² × 491¹
LCM(88375,88380) = 1562116500