What is the Least Common Multiple of 3960 and 3967?

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 3960 and 3967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3960 and 3967, than apply into the LCM equation.

GCF(3960,3967) = 1
LCM(3960,3967) = ( 3960 × 3967) / 1
LCM(3960,3967) = 15709320 / 1
LCM(3960,3967) = 15709320

Least Common Multiple (LCM) of 3960 and 3967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3960 and 3967. First we will calculate the prime factors of 3960 and 3967.

Prime Factorization of 3960

Prime Factorization of 3967

Now multiplying the highest exponent prime factors to calculate the LCM of 3960 and 3967.

LCM(3960,3967) = 2³ × 3² × 5¹ × 11¹ × 3967¹
LCM(3960,3967) = 15709320