What is the Least Common Multiple of 42408 and 42426?

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 42408 and 42426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42408 and 42426, than apply into the LCM equation.

GCF(42408,42426) = 18
LCM(42408,42426) = ( 42408 × 42426) / 18
LCM(42408,42426) = 1799201808 / 18
LCM(42408,42426) = 99955656

Least Common Multiple (LCM) of 42408 and 42426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42408 and 42426. First we will calculate the prime factors of 42408 and 42426.

Prime Factorization of 42408

Prime Factorization of 42426

Now multiplying the highest exponent prime factors to calculate the LCM of 42408 and 42426.

LCM(42408,42426) = 2³ × 3² × 19¹ × 31¹ × 2357¹
LCM(42408,42426) = 99955656