What is the Least Common Multiple of 59775 and 59790?

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 59775 and 59790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59775 and 59790, than apply into the LCM equation.

GCF(59775,59790) = 15
LCM(59775,59790) = ( 59775 × 59790) / 15
LCM(59775,59790) = 3573947250 / 15
LCM(59775,59790) = 238263150

Least Common Multiple (LCM) of 59775 and 59790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59775 and 59790. First we will calculate the prime factors of 59775 and 59790.

Prime Factorization of 59775

Prime Factorization of 59790

Now multiplying the highest exponent prime factors to calculate the LCM of 59775 and 59790.

LCM(59775,59790) = 3¹ × 5² × 797¹ × 2¹ × 1993¹
LCM(59775,59790) = 238263150