What is the Least Common Multiple of 54651 and 54662?

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 54651 and 54662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54651 and 54662, than apply into the LCM equation.

GCF(54651,54662) = 1
LCM(54651,54662) = ( 54651 × 54662) / 1
LCM(54651,54662) = 2987332962 / 1
LCM(54651,54662) = 2987332962

Least Common Multiple (LCM) of 54651 and 54662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54651 and 54662. First we will calculate the prime factors of 54651 and 54662.

Prime Factorization of 54651

Prime Factorization of 54662

Now multiplying the highest exponent prime factors to calculate the LCM of 54651 and 54662.

LCM(54651,54662) = 3¹ × 18217¹ × 2¹ × 151¹ × 181¹
LCM(54651,54662) = 2987332962