What is the Least Common Multiple of 6630 and 6642?

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 6630 and 6642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6630 and 6642, than apply into the LCM equation.

GCF(6630,6642) = 6
LCM(6630,6642) = ( 6630 × 6642) / 6
LCM(6630,6642) = 44036460 / 6
LCM(6630,6642) = 7339410

Least Common Multiple (LCM) of 6630 and 6642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6630 and 6642. First we will calculate the prime factors of 6630 and 6642.

Prime Factorization of 6630

Prime Factorization of 6642

Now multiplying the highest exponent prime factors to calculate the LCM of 6630 and 6642.

LCM(6630,6642) = 2¹ × 3⁴ × 5¹ × 13¹ × 17¹ × 41¹
LCM(6630,6642) = 7339410