What is the Least Common Multiple of 42336 and 42349?

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 42349 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 42349, than apply into the LCM equation.

GCF(42336,42349) = 1
LCM(42336,42349) = ( 42336 × 42349) / 1
LCM(42336,42349) = 1792887264 / 1
LCM(42336,42349) = 1792887264

Least Common Multiple (LCM) of 42336 and 42349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42336 and 42349. First we will calculate the prime factors of 42336 and 42349.

Prime Factorization of 42336

Prime Factorization of 42349

Now multiplying the highest exponent prime factors to calculate the LCM of 42336 and 42349.

LCM(42336,42349) = 2⁵ × 3³ × 7² × 42349¹
LCM(42336,42349) = 1792887264