What is the Least Common Multiple of 39336 and 39342?

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 39336 and 39342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39336 and 39342, than apply into the LCM equation.

GCF(39336,39342) = 6
LCM(39336,39342) = ( 39336 × 39342) / 6
LCM(39336,39342) = 1547556912 / 6
LCM(39336,39342) = 257926152

Least Common Multiple (LCM) of 39336 and 39342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39336 and 39342. First we will calculate the prime factors of 39336 and 39342.

Prime Factorization of 39336

Prime Factorization of 39342

Now multiplying the highest exponent prime factors to calculate the LCM of 39336 and 39342.

LCM(39336,39342) = 2³ × 3¹ × 11¹ × 149¹ × 79¹ × 83¹
LCM(39336,39342) = 257926152