What is the Least Common Multiple of 60828 and 60846?

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 60828 and 60846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60828 and 60846, than apply into the LCM equation.

GCF(60828,60846) = 6
LCM(60828,60846) = ( 60828 × 60846) / 6
LCM(60828,60846) = 3701140488 / 6
LCM(60828,60846) = 616856748

Least Common Multiple (LCM) of 60828 and 60846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60828 and 60846. First we will calculate the prime factors of 60828 and 60846.

Prime Factorization of 60828

Prime Factorization of 60846

Now multiplying the highest exponent prime factors to calculate the LCM of 60828 and 60846.

LCM(60828,60846) = 2² × 3¹ × 37¹ × 137¹ × 10141¹
LCM(60828,60846) = 616856748