What is the Least Common Multiple of 3954 and 3968?

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 3968 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 3968, than apply into the LCM equation.

GCF(3954,3968) = 2
LCM(3954,3968) = ( 3954 × 3968) / 2
LCM(3954,3968) = 15689472 / 2
LCM(3954,3968) = 7844736

Least Common Multiple (LCM) of 3954 and 3968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3954 and 3968. First we will calculate the prime factors of 3954 and 3968.

Prime Factorization of 3954

Prime Factorization of 3968

Now multiplying the highest exponent prime factors to calculate the LCM of 3954 and 3968.

LCM(3954,3968) = 2⁷ × 3¹ × 659¹ × 31¹
LCM(3954,3968) = 7844736