What is the Least Common Multiple of 30639 and 30648?

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 30639 and 30648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30639 and 30648, than apply into the LCM equation.

GCF(30639,30648) = 3
LCM(30639,30648) = ( 30639 × 30648) / 3
LCM(30639,30648) = 939024072 / 3
LCM(30639,30648) = 313008024

Least Common Multiple (LCM) of 30639 and 30648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30639 and 30648. First we will calculate the prime factors of 30639 and 30648.

Prime Factorization of 30639

Prime Factorization of 30648

Now multiplying the highest exponent prime factors to calculate the LCM of 30639 and 30648.

LCM(30639,30648) = 3¹ × 7¹ × 1459¹ × 2³ × 1277¹
LCM(30639,30648) = 313008024