What is the Least Common Multiple of 4056 and 4072?

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 4056 and 4072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4056 and 4072, than apply into the LCM equation.

GCF(4056,4072) = 8
LCM(4056,4072) = ( 4056 × 4072) / 8
LCM(4056,4072) = 16516032 / 8
LCM(4056,4072) = 2064504

Least Common Multiple (LCM) of 4056 and 4072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4056 and 4072. First we will calculate the prime factors of 4056 and 4072.

Prime Factorization of 4056

Prime Factorization of 4072

Now multiplying the highest exponent prime factors to calculate the LCM of 4056 and 4072.

LCM(4056,4072) = 2³ × 3¹ × 13² × 509¹
LCM(4056,4072) = 2064504