What is the Least Common Multiple of 59660 and 59675?

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 59660 and 59675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59660 and 59675, than apply into the LCM equation.

GCF(59660,59675) = 5
LCM(59660,59675) = ( 59660 × 59675) / 5
LCM(59660,59675) = 3560210500 / 5
LCM(59660,59675) = 712042100

Least Common Multiple (LCM) of 59660 and 59675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59660 and 59675. First we will calculate the prime factors of 59660 and 59675.

Prime Factorization of 59660

Prime Factorization of 59675

Now multiplying the highest exponent prime factors to calculate the LCM of 59660 and 59675.

LCM(59660,59675) = 2² × 5² × 19¹ × 157¹ × 7¹ × 11¹ × 31¹
LCM(59660,59675) = 712042100