What is the Least Common Multiple of 3984 and 3989?

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 3984 and 3989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3984 and 3989, than apply into the LCM equation.

GCF(3984,3989) = 1
LCM(3984,3989) = ( 3984 × 3989) / 1
LCM(3984,3989) = 15892176 / 1
LCM(3984,3989) = 15892176

Least Common Multiple (LCM) of 3984 and 3989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3984 and 3989. First we will calculate the prime factors of 3984 and 3989.

Prime Factorization of 3984

Prime Factorization of 3989

Now multiplying the highest exponent prime factors to calculate the LCM of 3984 and 3989.

LCM(3984,3989) = 2⁴ × 3¹ × 83¹ × 3989¹
LCM(3984,3989) = 15892176