What is the Least Common Multiple of 42906 and 42924?

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 42906 and 42924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42906 and 42924, than apply into the LCM equation.

GCF(42906,42924) = 6
LCM(42906,42924) = ( 42906 × 42924) / 6
LCM(42906,42924) = 1841697144 / 6
LCM(42906,42924) = 306949524

Least Common Multiple (LCM) of 42906 and 42924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42906 and 42924. First we will calculate the prime factors of 42906 and 42924.

Prime Factorization of 42906

Prime Factorization of 42924

Now multiplying the highest exponent prime factors to calculate the LCM of 42906 and 42924.

LCM(42906,42924) = 2² × 3¹ × 7151¹ × 7² × 73¹
LCM(42906,42924) = 306949524