What is the Least Common Multiple of 42396 and 42408?

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 42396 and 42408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42396 and 42408, than apply into the LCM equation.

GCF(42396,42408) = 12
LCM(42396,42408) = ( 42396 × 42408) / 12
LCM(42396,42408) = 1797929568 / 12
LCM(42396,42408) = 149827464

Least Common Multiple (LCM) of 42396 and 42408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42396 and 42408. First we will calculate the prime factors of 42396 and 42408.

Prime Factorization of 42396

Prime Factorization of 42408

Now multiplying the highest exponent prime factors to calculate the LCM of 42396 and 42408.

LCM(42396,42408) = 2³ × 3² × 3533¹ × 19¹ × 31¹
LCM(42396,42408) = 149827464