What is the Least Common Multiple of 3954 and 3974?

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 3954 and 3974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3954 and 3974, than apply into the LCM equation.

GCF(3954,3974) = 2
LCM(3954,3974) = ( 3954 × 3974) / 2
LCM(3954,3974) = 15713196 / 2
LCM(3954,3974) = 7856598

Least Common Multiple (LCM) of 3954 and 3974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3954 and 3974. First we will calculate the prime factors of 3954 and 3974.

Prime Factorization of 3954

Prime Factorization of 3974

Now multiplying the highest exponent prime factors to calculate the LCM of 3954 and 3974.

LCM(3954,3974) = 2¹ × 3¹ × 659¹ × 1987¹
LCM(3954,3974) = 7856598