What is the Least Common Multiple of 58065 and 58078?

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 58065 and 58078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58065 and 58078, than apply into the LCM equation.

GCF(58065,58078) = 1
LCM(58065,58078) = ( 58065 × 58078) / 1
LCM(58065,58078) = 3372299070 / 1
LCM(58065,58078) = 3372299070

Least Common Multiple (LCM) of 58065 and 58078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58065 and 58078. First we will calculate the prime factors of 58065 and 58078.

Prime Factorization of 58065

Prime Factorization of 58078

Now multiplying the highest exponent prime factors to calculate the LCM of 58065 and 58078.

LCM(58065,58078) = 3¹ × 5¹ × 7² × 79¹ × 2¹ × 71¹ × 409¹
LCM(58065,58078) = 3372299070