What is the Least Common Multiple of 56096 and 56114?

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 56096 and 56114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56096 and 56114, than apply into the LCM equation.

GCF(56096,56114) = 2
LCM(56096,56114) = ( 56096 × 56114) / 2
LCM(56096,56114) = 3147770944 / 2
LCM(56096,56114) = 1573885472

Least Common Multiple (LCM) of 56096 and 56114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56096 and 56114. First we will calculate the prime factors of 56096 and 56114.

Prime Factorization of 56096

Prime Factorization of 56114

Now multiplying the highest exponent prime factors to calculate the LCM of 56096 and 56114.

LCM(56096,56114) = 2⁵ × 1753¹ × 28057¹
LCM(56096,56114) = 1573885472