What is the Least Common Multiple of 6330 and 6339?

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 6330 and 6339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6330 and 6339, than apply into the LCM equation.

GCF(6330,6339) = 3
LCM(6330,6339) = ( 6330 × 6339) / 3
LCM(6330,6339) = 40125870 / 3
LCM(6330,6339) = 13375290

Least Common Multiple (LCM) of 6330 and 6339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6330 and 6339. First we will calculate the prime factors of 6330 and 6339.

Prime Factorization of 6330

Prime Factorization of 6339

Now multiplying the highest exponent prime factors to calculate the LCM of 6330 and 6339.

LCM(6330,6339) = 2¹ × 3¹ × 5¹ × 211¹ × 2113¹
LCM(6330,6339) = 13375290