What is the Least Common Multiple of 58096 and 58106?

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 58106 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 58106, than apply into the LCM equation.

GCF(58096,58106) = 2
LCM(58096,58106) = ( 58096 × 58106) / 2
LCM(58096,58106) = 3375726176 / 2
LCM(58096,58106) = 1687863088

Least Common Multiple (LCM) of 58096 and 58106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58096 and 58106. First we will calculate the prime factors of 58096 and 58106.

Prime Factorization of 58096

Prime Factorization of 58106

Now multiplying the highest exponent prime factors to calculate the LCM of 58096 and 58106.

LCM(58096,58106) = 2⁴ × 3631¹ × 17¹ × 1709¹
LCM(58096,58106) = 1687863088