What is the Least Common Multiple of 82340 and 82358?

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 82340 and 82358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82340 and 82358, than apply into the LCM equation.

GCF(82340,82358) = 2
LCM(82340,82358) = ( 82340 × 82358) / 2
LCM(82340,82358) = 6781357720 / 2
LCM(82340,82358) = 3390678860

Least Common Multiple (LCM) of 82340 and 82358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82340 and 82358. First we will calculate the prime factors of 82340 and 82358.

Prime Factorization of 82340

Prime Factorization of 82358

Now multiplying the highest exponent prime factors to calculate the LCM of 82340 and 82358.

LCM(82340,82358) = 2² × 5¹ × 23¹ × 179¹ × 41179¹
LCM(82340,82358) = 3390678860