What is the Least Common Multiple of 59688 and 59705?

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 59688 and 59705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59688 and 59705, than apply into the LCM equation.

GCF(59688,59705) = 1
LCM(59688,59705) = ( 59688 × 59705) / 1
LCM(59688,59705) = 3563672040 / 1
LCM(59688,59705) = 3563672040

Least Common Multiple (LCM) of 59688 and 59705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59688 and 59705. First we will calculate the prime factors of 59688 and 59705.

Prime Factorization of 59688

Prime Factorization of 59705

Now multiplying the highest exponent prime factors to calculate the LCM of 59688 and 59705.

LCM(59688,59705) = 2³ × 3² × 829¹ × 5¹ × 11941¹
LCM(59688,59705) = 3563672040