What is the Least Common Multiple of 58772 and 58779?

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 58772 and 58779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58772 and 58779, than apply into the LCM equation.

GCF(58772,58779) = 7
LCM(58772,58779) = ( 58772 × 58779) / 7
LCM(58772,58779) = 3454559388 / 7
LCM(58772,58779) = 493508484

Least Common Multiple (LCM) of 58772 and 58779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58772 and 58779. First we will calculate the prime factors of 58772 and 58779.

Prime Factorization of 58772

Prime Factorization of 58779

Now multiplying the highest exponent prime factors to calculate the LCM of 58772 and 58779.

LCM(58772,58779) = 2² × 7¹ × 2099¹ × 3³ × 311¹
LCM(58772,58779) = 493508484