What is the Least Common Multiple of 80368 and 80382?

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 80368 and 80382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80368 and 80382, than apply into the LCM equation.

GCF(80368,80382) = 2
LCM(80368,80382) = ( 80368 × 80382) / 2
LCM(80368,80382) = 6460140576 / 2
LCM(80368,80382) = 3230070288

Least Common Multiple (LCM) of 80368 and 80382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80368 and 80382. First we will calculate the prime factors of 80368 and 80382.

Prime Factorization of 80368

Prime Factorization of 80382

Now multiplying the highest exponent prime factors to calculate the LCM of 80368 and 80382.

LCM(80368,80382) = 2⁴ × 5023¹ × 3¹ × 13397¹
LCM(80368,80382) = 3230070288