What is the Least Common Multiple of 58102 and 58118?

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 58102 and 58118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58102 and 58118, than apply into the LCM equation.

GCF(58102,58118) = 2
LCM(58102,58118) = ( 58102 × 58118) / 2
LCM(58102,58118) = 3376772036 / 2
LCM(58102,58118) = 1688386018

Least Common Multiple (LCM) of 58102 and 58118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58102 and 58118. First we will calculate the prime factors of 58102 and 58118.

Prime Factorization of 58102

Prime Factorization of 58118

Now multiplying the highest exponent prime factors to calculate the LCM of 58102 and 58118.

LCM(58102,58118) = 2¹ × 11¹ × 19¹ × 139¹ × 29059¹
LCM(58102,58118) = 1688386018