What is the Least Common Multiple of 58405 and 58420?

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 58405 and 58420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58405 and 58420, than apply into the LCM equation.

GCF(58405,58420) = 5
LCM(58405,58420) = ( 58405 × 58420) / 5
LCM(58405,58420) = 3412020100 / 5
LCM(58405,58420) = 682404020

Least Common Multiple (LCM) of 58405 and 58420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58405 and 58420. First we will calculate the prime factors of 58405 and 58420.

Prime Factorization of 58405

Prime Factorization of 58420

Now multiplying the highest exponent prime factors to calculate the LCM of 58405 and 58420.

LCM(58405,58420) = 5¹ × 11681¹ × 2² × 23¹ × 127¹
LCM(58405,58420) = 682404020