What is the Least Common Multiple of 52641 and 52647?

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 52641 and 52647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52641 and 52647, than apply into the LCM equation.

GCF(52641,52647) = 3
LCM(52641,52647) = ( 52641 × 52647) / 3
LCM(52641,52647) = 2771390727 / 3
LCM(52641,52647) = 923796909

Least Common Multiple (LCM) of 52641 and 52647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52641 and 52647. First we will calculate the prime factors of 52641 and 52647.

Prime Factorization of 52641

Prime Factorization of 52647

Now multiplying the highest exponent prime factors to calculate the LCM of 52641 and 52647.

LCM(52641,52647) = 3² × 5849¹ × 7¹ × 23¹ × 109¹
LCM(52641,52647) = 923796909