What is the Least Common Multiple of 5994 and 6006?

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 5994 and 6006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5994 and 6006, than apply into the LCM equation.

GCF(5994,6006) = 6
LCM(5994,6006) = ( 5994 × 6006) / 6
LCM(5994,6006) = 35999964 / 6
LCM(5994,6006) = 5999994

Least Common Multiple (LCM) of 5994 and 6006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5994 and 6006. First we will calculate the prime factors of 5994 and 6006.

Prime Factorization of 5994

Prime Factorization of 6006

Now multiplying the highest exponent prime factors to calculate the LCM of 5994 and 6006.

LCM(5994,6006) = 2¹ × 3⁴ × 37¹ × 7¹ × 11¹ × 13¹
LCM(5994,6006) = 5999994