What is the Least Common Multiple of 60348 and 60357?

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 60348 and 60357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60348 and 60357, than apply into the LCM equation.

GCF(60348,60357) = 3
LCM(60348,60357) = ( 60348 × 60357) / 3
LCM(60348,60357) = 3642424236 / 3
LCM(60348,60357) = 1214141412

Least Common Multiple (LCM) of 60348 and 60357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60348 and 60357. First we will calculate the prime factors of 60348 and 60357.

Prime Factorization of 60348

Prime Factorization of 60357

Now multiplying the highest exponent prime factors to calculate the LCM of 60348 and 60357.

LCM(60348,60357) = 2² × 3¹ × 47¹ × 107¹ × 11¹ × 31¹ × 59¹
LCM(60348,60357) = 1214141412