What is the Least Common Multiple of 42672 and 42678?

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 42672 and 42678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42672 and 42678, than apply into the LCM equation.

GCF(42672,42678) = 6
LCM(42672,42678) = ( 42672 × 42678) / 6
LCM(42672,42678) = 1821155616 / 6
LCM(42672,42678) = 303525936

Least Common Multiple (LCM) of 42672 and 42678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42672 and 42678. First we will calculate the prime factors of 42672 and 42678.

Prime Factorization of 42672

Prime Factorization of 42678

Now multiplying the highest exponent prime factors to calculate the LCM of 42672 and 42678.

LCM(42672,42678) = 2⁴ × 3² × 7¹ × 127¹ × 2371¹
LCM(42672,42678) = 303525936