What is the Least Common Multiple of 3954 and 3972?

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 3972 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 3972, than apply into the LCM equation.

GCF(3954,3972) = 6
LCM(3954,3972) = ( 3954 × 3972) / 6
LCM(3954,3972) = 15705288 / 6
LCM(3954,3972) = 2617548

Least Common Multiple (LCM) of 3954 and 3972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3954 and 3972. First we will calculate the prime factors of 3954 and 3972.

Prime Factorization of 3954

Prime Factorization of 3972

Now multiplying the highest exponent prime factors to calculate the LCM of 3954 and 3972.

LCM(3954,3972) = 2² × 3¹ × 659¹ × 331¹
LCM(3954,3972) = 2617548