What is the Least Common Multiple of 58116 and 58135?

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 58116 and 58135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58116 and 58135, than apply into the LCM equation.

GCF(58116,58135) = 1
LCM(58116,58135) = ( 58116 × 58135) / 1
LCM(58116,58135) = 3378573660 / 1
LCM(58116,58135) = 3378573660

Least Common Multiple (LCM) of 58116 and 58135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58116 and 58135. First we will calculate the prime factors of 58116 and 58135.

Prime Factorization of 58116

Prime Factorization of 58135

Now multiplying the highest exponent prime factors to calculate the LCM of 58116 and 58135.

LCM(58116,58135) = 2² × 3¹ × 29¹ × 167¹ × 5¹ × 7¹ × 11¹ × 151¹
LCM(58116,58135) = 3378573660