What is the Least Common Multiple of 42336 and 42342?

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 42336 and 42342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42336 and 42342, than apply into the LCM equation.

GCF(42336,42342) = 6
LCM(42336,42342) = ( 42336 × 42342) / 6
LCM(42336,42342) = 1792590912 / 6
LCM(42336,42342) = 298765152

Least Common Multiple (LCM) of 42336 and 42342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42336 and 42342. First we will calculate the prime factors of 42336 and 42342.

Prime Factorization of 42336

Prime Factorization of 42342

Now multiplying the highest exponent prime factors to calculate the LCM of 42336 and 42342.

LCM(42336,42342) = 2⁵ × 3³ × 7² × 7057¹
LCM(42336,42342) = 298765152