What is the Least Common Multiple of 42600 and 42612?

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 42600 and 42612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42600 and 42612, than apply into the LCM equation.

GCF(42600,42612) = 12
LCM(42600,42612) = ( 42600 × 42612) / 12
LCM(42600,42612) = 1815271200 / 12
LCM(42600,42612) = 151272600

Least Common Multiple (LCM) of 42600 and 42612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42600 and 42612. First we will calculate the prime factors of 42600 and 42612.

Prime Factorization of 42600

Prime Factorization of 42612

Now multiplying the highest exponent prime factors to calculate the LCM of 42600 and 42612.

LCM(42600,42612) = 2³ × 3¹ × 5² × 71¹ × 53¹ × 67¹
LCM(42600,42612) = 151272600