What is the Least Common Multiple of 59900 and 59905?

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 59900 and 59905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59900 and 59905, than apply into the LCM equation.

GCF(59900,59905) = 5
LCM(59900,59905) = ( 59900 × 59905) / 5
LCM(59900,59905) = 3588309500 / 5
LCM(59900,59905) = 717661900

Least Common Multiple (LCM) of 59900 and 59905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59900 and 59905. First we will calculate the prime factors of 59900 and 59905.

Prime Factorization of 59900

Prime Factorization of 59905

Now multiplying the highest exponent prime factors to calculate the LCM of 59900 and 59905.

LCM(59900,59905) = 2² × 5² × 599¹ × 11981¹
LCM(59900,59905) = 717661900