What is the Least Common Multiple of 56048 and 56056?

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 56048 and 56056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56048 and 56056, than apply into the LCM equation.

GCF(56048,56056) = 8
LCM(56048,56056) = ( 56048 × 56056) / 8
LCM(56048,56056) = 3141826688 / 8
LCM(56048,56056) = 392728336

Least Common Multiple (LCM) of 56048 and 56056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56048 and 56056. First we will calculate the prime factors of 56048 and 56056.

Prime Factorization of 56048

Prime Factorization of 56056

Now multiplying the highest exponent prime factors to calculate the LCM of 56048 and 56056.

LCM(56048,56056) = 2⁴ × 31¹ × 113¹ × 7² × 11¹ × 13¹
LCM(56048,56056) = 392728336