What is the Least Common Multiple of 3968 and 3978?

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 3978 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 3978, than apply into the LCM equation.

GCF(3968,3978) = 2
LCM(3968,3978) = ( 3968 × 3978) / 2
LCM(3968,3978) = 15784704 / 2
LCM(3968,3978) = 7892352

Least Common Multiple (LCM) of 3968 and 3978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3968 and 3978. First we will calculate the prime factors of 3968 and 3978.

Prime Factorization of 3968

Prime Factorization of 3978

Now multiplying the highest exponent prime factors to calculate the LCM of 3968 and 3978.

LCM(3968,3978) = 2⁷ × 31¹ × 3² × 13¹ × 17¹
LCM(3968,3978) = 7892352