What is the Least Common Multiple of 54648 and 54659?

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 54648 and 54659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54648 and 54659, than apply into the LCM equation.

GCF(54648,54659) = 11
LCM(54648,54659) = ( 54648 × 54659) / 11
LCM(54648,54659) = 2987005032 / 11
LCM(54648,54659) = 271545912

Least Common Multiple (LCM) of 54648 and 54659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54648 and 54659. First we will calculate the prime factors of 54648 and 54659.

Prime Factorization of 54648

Prime Factorization of 54659

Now multiplying the highest exponent prime factors to calculate the LCM of 54648 and 54659.

LCM(54648,54659) = 2³ × 3³ × 11¹ × 23¹ × 4969¹
LCM(54648,54659) = 271545912