What is the Least Common Multiple of 6006 and 6020?

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 6020 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 6020, than apply into the LCM equation.

GCF(6006,6020) = 14
LCM(6006,6020) = ( 6006 × 6020) / 14
LCM(6006,6020) = 36156120 / 14
LCM(6006,6020) = 2582580

Least Common Multiple (LCM) of 6006 and 6020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6006 and 6020. First we will calculate the prime factors of 6006 and 6020.

Prime Factorization of 6006

Prime Factorization of 6020

Now multiplying the highest exponent prime factors to calculate the LCM of 6006 and 6020.

LCM(6006,6020) = 2² × 3¹ × 7¹ × 11¹ × 13¹ × 5¹ × 43¹
LCM(6006,6020) = 2582580