What is the Least Common Multiple of 59885 and 59900?

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 59885 and 59900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59885 and 59900, than apply into the LCM equation.

GCF(59885,59900) = 5
LCM(59885,59900) = ( 59885 × 59900) / 5
LCM(59885,59900) = 3587111500 / 5
LCM(59885,59900) = 717422300

Least Common Multiple (LCM) of 59885 and 59900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59885 and 59900. First we will calculate the prime factors of 59885 and 59900.

Prime Factorization of 59885

Prime Factorization of 59900

Now multiplying the highest exponent prime factors to calculate the LCM of 59885 and 59900.

LCM(59885,59900) = 5² × 7¹ × 29¹ × 59¹ × 2² × 599¹
LCM(59885,59900) = 717422300