What is the Least Common Multiple of 58005 and 58014?

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 58005 and 58014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58005 and 58014, than apply into the LCM equation.

GCF(58005,58014) = 9
LCM(58005,58014) = ( 58005 × 58014) / 9
LCM(58005,58014) = 3365102070 / 9
LCM(58005,58014) = 373900230

Least Common Multiple (LCM) of 58005 and 58014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58005 and 58014. First we will calculate the prime factors of 58005 and 58014.

Prime Factorization of 58005

Prime Factorization of 58014

Now multiplying the highest exponent prime factors to calculate the LCM of 58005 and 58014.

LCM(58005,58014) = 3² × 5¹ × 1289¹ × 2¹ × 11¹ × 293¹
LCM(58005,58014) = 373900230