What is the Least Common Multiple of 60495 and 60500?

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 60495 and 60500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60495 and 60500, than apply into the LCM equation.

GCF(60495,60500) = 5
LCM(60495,60500) = ( 60495 × 60500) / 5
LCM(60495,60500) = 3659947500 / 5
LCM(60495,60500) = 731989500

Least Common Multiple (LCM) of 60495 and 60500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60495 and 60500. First we will calculate the prime factors of 60495 and 60500.

Prime Factorization of 60495

Prime Factorization of 60500

Now multiplying the highest exponent prime factors to calculate the LCM of 60495 and 60500.

LCM(60495,60500) = 3¹ × 5³ × 37¹ × 109¹ × 2² × 11²
LCM(60495,60500) = 731989500