What is the Least Common Multiple of 80382 and 80388?

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 80382 and 80388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80382 and 80388, than apply into the LCM equation.

GCF(80382,80388) = 6
LCM(80382,80388) = ( 80382 × 80388) / 6
LCM(80382,80388) = 6461748216 / 6
LCM(80382,80388) = 1076958036

Least Common Multiple (LCM) of 80382 and 80388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80382 and 80388. First we will calculate the prime factors of 80382 and 80388.

Prime Factorization of 80382

Prime Factorization of 80388

Now multiplying the highest exponent prime factors to calculate the LCM of 80382 and 80388.

LCM(80382,80388) = 2² × 3² × 13397¹ × 7¹ × 11¹ × 29¹
LCM(80382,80388) = 1076958036