What is the Least Common Multiple of 6629 and 6647?

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 6629 and 6647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6629 and 6647, than apply into the LCM equation.

GCF(6629,6647) = 1
LCM(6629,6647) = ( 6629 × 6647) / 1
LCM(6629,6647) = 44062963 / 1
LCM(6629,6647) = 44062963

Least Common Multiple (LCM) of 6629 and 6647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6629 and 6647. First we will calculate the prime factors of 6629 and 6647.

Prime Factorization of 6629

Prime Factorization of 6647

Now multiplying the highest exponent prime factors to calculate the LCM of 6629 and 6647.

LCM(6629,6647) = 7¹ × 947¹ × 17² × 23¹
LCM(6629,6647) = 44062963