What is the Least Common Multiple of 58320 and 58340?

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 58320 and 58340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58320 and 58340, than apply into the LCM equation.

GCF(58320,58340) = 20
LCM(58320,58340) = ( 58320 × 58340) / 20
LCM(58320,58340) = 3402388800 / 20
LCM(58320,58340) = 170119440

Least Common Multiple (LCM) of 58320 and 58340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58320 and 58340. First we will calculate the prime factors of 58320 and 58340.

Prime Factorization of 58320

Prime Factorization of 58340

Now multiplying the highest exponent prime factors to calculate the LCM of 58320 and 58340.

LCM(58320,58340) = 2⁴ × 3⁶ × 5¹ × 2917¹
LCM(58320,58340) = 170119440