What is the Least Common Multiple of 58340 and 58346?

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 58346 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 58346, than apply into the LCM equation.

GCF(58340,58346) = 2
LCM(58340,58346) = ( 58340 × 58346) / 2
LCM(58340,58346) = 3403905640 / 2
LCM(58340,58346) = 1701952820

Least Common Multiple (LCM) of 58340 and 58346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58340 and 58346. First we will calculate the prime factors of 58340 and 58346.

Prime Factorization of 58340

Prime Factorization of 58346

Now multiplying the highest exponent prime factors to calculate the LCM of 58340 and 58346.

LCM(58340,58346) = 2² × 5¹ × 2917¹ × 29173¹
LCM(58340,58346) = 1701952820