What is the Least Common Multiple of 3968 and 3982?

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 3968 and 3982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3968 and 3982, than apply into the LCM equation.

GCF(3968,3982) = 2
LCM(3968,3982) = ( 3968 × 3982) / 2
LCM(3968,3982) = 15800576 / 2
LCM(3968,3982) = 7900288

Least Common Multiple (LCM) of 3968 and 3982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3968 and 3982. First we will calculate the prime factors of 3968 and 3982.

Prime Factorization of 3968

Prime Factorization of 3982

Now multiplying the highest exponent prime factors to calculate the LCM of 3968 and 3982.

LCM(3968,3982) = 2⁷ × 31¹ × 11¹ × 181¹
LCM(3968,3982) = 7900288