What is the Least Common Multiple of 56028 and 56048?

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 56028 and 56048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56028 and 56048, than apply into the LCM equation.

GCF(56028,56048) = 4
LCM(56028,56048) = ( 56028 × 56048) / 4
LCM(56028,56048) = 3140257344 / 4
LCM(56028,56048) = 785064336

Least Common Multiple (LCM) of 56028 and 56048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56028 and 56048. First we will calculate the prime factors of 56028 and 56048.

Prime Factorization of 56028

Prime Factorization of 56048

Now multiplying the highest exponent prime factors to calculate the LCM of 56028 and 56048.

LCM(56028,56048) = 2⁴ × 3¹ × 7¹ × 23¹ × 29¹ × 31¹ × 113¹
LCM(56028,56048) = 785064336