What is the Least Common Multiple of 3936 and 3942?

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 3936 and 3942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3936 and 3942, than apply into the LCM equation.

GCF(3936,3942) = 6
LCM(3936,3942) = ( 3936 × 3942) / 6
LCM(3936,3942) = 15515712 / 6
LCM(3936,3942) = 2585952

Least Common Multiple (LCM) of 3936 and 3942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3936 and 3942. First we will calculate the prime factors of 3936 and 3942.

Prime Factorization of 3936

Prime Factorization of 3942

Now multiplying the highest exponent prime factors to calculate the LCM of 3936 and 3942.

LCM(3936,3942) = 2⁵ × 3³ × 41¹ × 73¹
LCM(3936,3942) = 2585952