What is the Least Common Multiple of 66012 and 66030?

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 66012 and 66030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66012 and 66030, than apply into the LCM equation.

GCF(66012,66030) = 6
LCM(66012,66030) = ( 66012 × 66030) / 6
LCM(66012,66030) = 4358772360 / 6
LCM(66012,66030) = 726462060

Least Common Multiple (LCM) of 66012 and 66030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66012 and 66030. First we will calculate the prime factors of 66012 and 66030.

Prime Factorization of 66012

Prime Factorization of 66030

Now multiplying the highest exponent prime factors to calculate the LCM of 66012 and 66030.

LCM(66012,66030) = 2² × 3¹ × 5501¹ × 5¹ × 31¹ × 71¹
LCM(66012,66030) = 726462060