What is the Least Common Multiple of 58086 and 58103?

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 58086 and 58103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58086 and 58103, than apply into the LCM equation.

GCF(58086,58103) = 1
LCM(58086,58103) = ( 58086 × 58103) / 1
LCM(58086,58103) = 3374970858 / 1
LCM(58086,58103) = 3374970858

Least Common Multiple (LCM) of 58086 and 58103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58086 and 58103. First we will calculate the prime factors of 58086 and 58103.

Prime Factorization of 58086

Prime Factorization of 58103

Now multiplying the highest exponent prime factors to calculate the LCM of 58086 and 58103.

LCM(58086,58103) = 2¹ × 3² × 7¹ × 461¹ × 97¹ × 599¹
LCM(58086,58103) = 3374970858