What is the Least Common Multiple of 3978 and 3991?

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 3978 and 3991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3978 and 3991, than apply into the LCM equation.

GCF(3978,3991) = 13
LCM(3978,3991) = ( 3978 × 3991) / 13
LCM(3978,3991) = 15876198 / 13
LCM(3978,3991) = 1221246

Least Common Multiple (LCM) of 3978 and 3991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3978 and 3991. First we will calculate the prime factors of 3978 and 3991.

Prime Factorization of 3978

Prime Factorization of 3991

Now multiplying the highest exponent prime factors to calculate the LCM of 3978 and 3991.

LCM(3978,3991) = 2¹ × 3² × 13¹ × 17¹ × 307¹
LCM(3978,3991) = 1221246