What is the Least Common Multiple of 58035 and 58039?

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 58035 and 58039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58035 and 58039, than apply into the LCM equation.

GCF(58035,58039) = 1
LCM(58035,58039) = ( 58035 × 58039) / 1
LCM(58035,58039) = 3368293365 / 1
LCM(58035,58039) = 3368293365

Least Common Multiple (LCM) of 58035 and 58039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58035 and 58039. First we will calculate the prime factors of 58035 and 58039.

Prime Factorization of 58035

Prime Factorization of 58039

Now multiplying the highest exponent prime factors to calculate the LCM of 58035 and 58039.

LCM(58035,58039) = 3¹ × 5¹ × 53¹ × 73¹ × 127¹ × 457¹
LCM(58035,58039) = 3368293365