What is the Least Common Multiple of 61500 and 61518?

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 61518 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 61518, than apply into the LCM equation.

GCF(61500,61518) = 6
LCM(61500,61518) = ( 61500 × 61518) / 6
LCM(61500,61518) = 3783357000 / 6
LCM(61500,61518) = 630559500

Least Common Multiple (LCM) of 61500 and 61518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61500 and 61518. First we will calculate the prime factors of 61500 and 61518.

Prime Factorization of 61500

Prime Factorization of 61518

Now multiplying the highest exponent prime factors to calculate the LCM of 61500 and 61518.

LCM(61500,61518) = 2² × 3¹ × 5³ × 41¹ × 10253¹
LCM(61500,61518) = 630559500