What is the Least Common Multiple of 3012 and 3030?

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 3012 and 3030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3012 and 3030, than apply into the LCM equation.

GCF(3012,3030) = 6
LCM(3012,3030) = ( 3012 × 3030) / 6
LCM(3012,3030) = 9126360 / 6
LCM(3012,3030) = 1521060

Least Common Multiple (LCM) of 3012 and 3030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3012 and 3030. First we will calculate the prime factors of 3012 and 3030.

Prime Factorization of 3012

Prime Factorization of 3030

Now multiplying the highest exponent prime factors to calculate the LCM of 3012 and 3030.

LCM(3012,3030) = 2² × 3¹ × 251¹ × 5¹ × 101¹
LCM(3012,3030) = 1521060