What is the Least Common Multiple of 42648 and 42657?

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 42648 and 42657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42648 and 42657, than apply into the LCM equation.

GCF(42648,42657) = 3
LCM(42648,42657) = ( 42648 × 42657) / 3
LCM(42648,42657) = 1819235736 / 3
LCM(42648,42657) = 606411912

Least Common Multiple (LCM) of 42648 and 42657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42648 and 42657. First we will calculate the prime factors of 42648 and 42657.

Prime Factorization of 42648

Prime Factorization of 42657

Now multiplying the highest exponent prime factors to calculate the LCM of 42648 and 42657.

LCM(42648,42657) = 2³ × 3¹ × 1777¹ × 59¹ × 241¹
LCM(42648,42657) = 606411912