What is the Least Common Multiple of 75495 and 75500?

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 75495 and 75500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75495 and 75500, than apply into the LCM equation.

GCF(75495,75500) = 5
LCM(75495,75500) = ( 75495 × 75500) / 5
LCM(75495,75500) = 5699872500 / 5
LCM(75495,75500) = 1139974500

Least Common Multiple (LCM) of 75495 and 75500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75495 and 75500. First we will calculate the prime factors of 75495 and 75500.

Prime Factorization of 75495

Prime Factorization of 75500

Now multiplying the highest exponent prime factors to calculate the LCM of 75495 and 75500.

LCM(75495,75500) = 3¹ × 5³ × 7¹ × 719¹ × 2² × 151¹
LCM(75495,75500) = 1139974500