What is the Least Common Multiple of 61500 and 61515?

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 61500 and 61515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61500 and 61515, than apply into the LCM equation.

GCF(61500,61515) = 15
LCM(61500,61515) = ( 61500 × 61515) / 15
LCM(61500,61515) = 3783172500 / 15
LCM(61500,61515) = 252211500

Least Common Multiple (LCM) of 61500 and 61515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61500 and 61515. First we will calculate the prime factors of 61500 and 61515.

Prime Factorization of 61500

Prime Factorization of 61515

Now multiplying the highest exponent prime factors to calculate the LCM of 61500 and 61515.

LCM(61500,61515) = 2² × 3² × 5³ × 41¹ × 1367¹
LCM(61500,61515) = 252211500