What is the Least Common Multiple of 6604 and 6622?

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 6604 and 6622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6604 and 6622, than apply into the LCM equation.

GCF(6604,6622) = 2
LCM(6604,6622) = ( 6604 × 6622) / 2
LCM(6604,6622) = 43731688 / 2
LCM(6604,6622) = 21865844

Least Common Multiple (LCM) of 6604 and 6622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6604 and 6622. First we will calculate the prime factors of 6604 and 6622.

Prime Factorization of 6604

Prime Factorization of 6622

Now multiplying the highest exponent prime factors to calculate the LCM of 6604 and 6622.

LCM(6604,6622) = 2² × 13¹ × 127¹ × 7¹ × 11¹ × 43¹
LCM(6604,6622) = 21865844