What is the Least Common Multiple of 88965 and 88975?

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 88965 and 88975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88965 and 88975, than apply into the LCM equation.

GCF(88965,88975) = 5
LCM(88965,88975) = ( 88965 × 88975) / 5
LCM(88965,88975) = 7915660875 / 5
LCM(88965,88975) = 1583132175

Least Common Multiple (LCM) of 88965 and 88975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88965 and 88975. First we will calculate the prime factors of 88965 and 88975.

Prime Factorization of 88965

Prime Factorization of 88975

Now multiplying the highest exponent prime factors to calculate the LCM of 88965 and 88975.

LCM(88965,88975) = 3³ × 5² × 659¹ × 3559¹
LCM(88965,88975) = 1583132175