What is the Least Common Multiple of 60813 and 60828?

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 60813 and 60828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60813 and 60828, than apply into the LCM equation.

GCF(60813,60828) = 3
LCM(60813,60828) = ( 60813 × 60828) / 3
LCM(60813,60828) = 3699133164 / 3
LCM(60813,60828) = 1233044388

Least Common Multiple (LCM) of 60813 and 60828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60813 and 60828. First we will calculate the prime factors of 60813 and 60828.

Prime Factorization of 60813

Prime Factorization of 60828

Now multiplying the highest exponent prime factors to calculate the LCM of 60813 and 60828.

LCM(60813,60828) = 3² × 29¹ × 233¹ × 2² × 37¹ × 137¹
LCM(60813,60828) = 1233044388