What is the Least Common Multiple of 3942 and 3952?

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 3942 and 3952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3942 and 3952, than apply into the LCM equation.

GCF(3942,3952) = 2
LCM(3942,3952) = ( 3942 × 3952) / 2
LCM(3942,3952) = 15578784 / 2
LCM(3942,3952) = 7789392

Least Common Multiple (LCM) of 3942 and 3952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3942 and 3952. First we will calculate the prime factors of 3942 and 3952.

Prime Factorization of 3942

Prime Factorization of 3952

Now multiplying the highest exponent prime factors to calculate the LCM of 3942 and 3952.

LCM(3942,3952) = 2⁴ × 3³ × 73¹ × 13¹ × 19¹
LCM(3942,3952) = 7789392