What is the Least Common Multiple of 6312 and 6330?

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 6312 and 6330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6312 and 6330, than apply into the LCM equation.

GCF(6312,6330) = 6
LCM(6312,6330) = ( 6312 × 6330) / 6
LCM(6312,6330) = 39954960 / 6
LCM(6312,6330) = 6659160

Least Common Multiple (LCM) of 6312 and 6330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6312 and 6330. First we will calculate the prime factors of 6312 and 6330.

Prime Factorization of 6312

Prime Factorization of 6330

Now multiplying the highest exponent prime factors to calculate the LCM of 6312 and 6330.

LCM(6312,6330) = 2³ × 3¹ × 263¹ × 5¹ × 211¹
LCM(6312,6330) = 6659160