What is the Least Common Multiple of 51012 and 51030?

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 51012 and 51030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51012 and 51030, than apply into the LCM equation.

GCF(51012,51030) = 18
LCM(51012,51030) = ( 51012 × 51030) / 18
LCM(51012,51030) = 2603142360 / 18
LCM(51012,51030) = 144619020

Least Common Multiple (LCM) of 51012 and 51030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51012 and 51030. First we will calculate the prime factors of 51012 and 51030.

Prime Factorization of 51012

Prime Factorization of 51030

Now multiplying the highest exponent prime factors to calculate the LCM of 51012 and 51030.

LCM(51012,51030) = 2² × 3⁶ × 13¹ × 109¹ × 5¹ × 7¹
LCM(51012,51030) = 144619020