What is the Least Common Multiple of 82368 and 82382?

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 82368 and 82382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82368 and 82382, than apply into the LCM equation.

GCF(82368,82382) = 2
LCM(82368,82382) = ( 82368 × 82382) / 2
LCM(82368,82382) = 6785640576 / 2
LCM(82368,82382) = 3392820288

Least Common Multiple (LCM) of 82368 and 82382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82368 and 82382. First we will calculate the prime factors of 82368 and 82382.

Prime Factorization of 82368

Prime Factorization of 82382

Now multiplying the highest exponent prime factors to calculate the LCM of 82368 and 82382.

LCM(82368,82382) = 2⁶ × 3² × 11¹ × 13¹ × 17¹ × 2423¹
LCM(82368,82382) = 3392820288