What is the Least Common Multiple of 82379 and 82399?

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 82379 and 82399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82379 and 82399, than apply into the LCM equation.

GCF(82379,82399) = 1
LCM(82379,82399) = ( 82379 × 82399) / 1
LCM(82379,82399) = 6787947221 / 1
LCM(82379,82399) = 6787947221

Least Common Multiple (LCM) of 82379 and 82399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82379 and 82399. First we will calculate the prime factors of 82379 and 82399.

Prime Factorization of 82379

Prime Factorization of 82399

Now multiplying the highest exponent prime factors to calculate the LCM of 82379 and 82399.

LCM(82379,82399) = 11¹ × 7489¹ × 17¹ × 37¹ × 131¹
LCM(82379,82399) = 6787947221