What is the Least Common Multiple of 58096 and 58112?

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 58096 and 58112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58096 and 58112, than apply into the LCM equation.

GCF(58096,58112) = 16
LCM(58096,58112) = ( 58096 × 58112) / 16
LCM(58096,58112) = 3376074752 / 16
LCM(58096,58112) = 211004672

Least Common Multiple (LCM) of 58096 and 58112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58096 and 58112. First we will calculate the prime factors of 58096 and 58112.

Prime Factorization of 58096

Prime Factorization of 58112

Now multiplying the highest exponent prime factors to calculate the LCM of 58096 and 58112.

LCM(58096,58112) = 2⁸ × 3631¹ × 227¹
LCM(58096,58112) = 211004672