What is the Least Common Multiple of 82365 and 82384?

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 82365 and 82384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82365 and 82384, than apply into the LCM equation.

GCF(82365,82384) = 19
LCM(82365,82384) = ( 82365 × 82384) / 19
LCM(82365,82384) = 6785558160 / 19
LCM(82365,82384) = 357134640

Least Common Multiple (LCM) of 82365 and 82384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82365 and 82384. First we will calculate the prime factors of 82365 and 82384.

Prime Factorization of 82365

Prime Factorization of 82384

Now multiplying the highest exponent prime factors to calculate the LCM of 82365 and 82384.

LCM(82365,82384) = 3¹ × 5¹ × 17² × 19¹ × 2⁴ × 271¹
LCM(82365,82384) = 357134640