What is the Least Common Multiple of 15936 and 15942?

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 15936 and 15942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15936 and 15942, than apply into the LCM equation.

GCF(15936,15942) = 6
LCM(15936,15942) = ( 15936 × 15942) / 6
LCM(15936,15942) = 254051712 / 6
LCM(15936,15942) = 42341952

Least Common Multiple (LCM) of 15936 and 15942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15936 and 15942. First we will calculate the prime factors of 15936 and 15942.

Prime Factorization of 15936

Prime Factorization of 15942

Now multiplying the highest exponent prime factors to calculate the LCM of 15936 and 15942.

LCM(15936,15942) = 2⁶ × 3¹ × 83¹ × 2657¹
LCM(15936,15942) = 42341952