What is the Least Common Multiple of 4048 and 4056?

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 4048 and 4056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4048 and 4056, than apply into the LCM equation.

GCF(4048,4056) = 8
LCM(4048,4056) = ( 4048 × 4056) / 8
LCM(4048,4056) = 16418688 / 8
LCM(4048,4056) = 2052336

Least Common Multiple (LCM) of 4048 and 4056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4048 and 4056. First we will calculate the prime factors of 4048 and 4056.

Prime Factorization of 4048

Prime Factorization of 4056

Now multiplying the highest exponent prime factors to calculate the LCM of 4048 and 4056.

LCM(4048,4056) = 2⁴ × 11¹ × 23¹ × 3¹ × 13²
LCM(4048,4056) = 2052336