What is the Least Common Multiple of 58340 and 58345?

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 58340 and 58345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58340 and 58345, than apply into the LCM equation.

GCF(58340,58345) = 5
LCM(58340,58345) = ( 58340 × 58345) / 5
LCM(58340,58345) = 3403847300 / 5
LCM(58340,58345) = 680769460

Least Common Multiple (LCM) of 58340 and 58345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58340 and 58345. First we will calculate the prime factors of 58340 and 58345.

Prime Factorization of 58340

Prime Factorization of 58345

Now multiplying the highest exponent prime factors to calculate the LCM of 58340 and 58345.

LCM(58340,58345) = 2² × 5¹ × 2917¹ × 7¹ × 1667¹
LCM(58340,58345) = 680769460