What is the Least Common Multiple of 52647 and 52667?

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 52647 and 52667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52647 and 52667, than apply into the LCM equation.

GCF(52647,52667) = 1
LCM(52647,52667) = ( 52647 × 52667) / 1
LCM(52647,52667) = 2772759549 / 1
LCM(52647,52667) = 2772759549

Least Common Multiple (LCM) of 52647 and 52667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52647 and 52667. First we will calculate the prime factors of 52647 and 52667.

Prime Factorization of 52647

Prime Factorization of 52667

Now multiplying the highest exponent prime factors to calculate the LCM of 52647 and 52667.

LCM(52647,52667) = 3¹ × 7¹ × 23¹ × 109¹ × 52667¹
LCM(52647,52667) = 2772759549