What is the Least Common Multiple of 82358 and 82370?

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 82358 and 82370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82358 and 82370, than apply into the LCM equation.

GCF(82358,82370) = 2
LCM(82358,82370) = ( 82358 × 82370) / 2
LCM(82358,82370) = 6783828460 / 2
LCM(82358,82370) = 3391914230

Least Common Multiple (LCM) of 82358 and 82370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82358 and 82370. First we will calculate the prime factors of 82358 and 82370.

Prime Factorization of 82358

Prime Factorization of 82370

Now multiplying the highest exponent prime factors to calculate the LCM of 82358 and 82370.

LCM(82358,82370) = 2¹ × 41179¹ × 5¹ × 8237¹
LCM(82358,82370) = 3391914230