What is the Least Common Multiple of 6006 and 6023?

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 6006 and 6023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6006 and 6023, than apply into the LCM equation.

GCF(6006,6023) = 1
LCM(6006,6023) = ( 6006 × 6023) / 1
LCM(6006,6023) = 36174138 / 1
LCM(6006,6023) = 36174138

Least Common Multiple (LCM) of 6006 and 6023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6006 and 6023. First we will calculate the prime factors of 6006 and 6023.

Prime Factorization of 6006

Prime Factorization of 6023

Now multiplying the highest exponent prime factors to calculate the LCM of 6006 and 6023.

LCM(6006,6023) = 2¹ × 3¹ × 7¹ × 11¹ × 13¹ × 19¹ × 317¹
LCM(6006,6023) = 36174138