What is the Least Common Multiple of 67382 and 67388?

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 67382 and 67388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67382 and 67388, than apply into the LCM equation.

GCF(67382,67388) = 2
LCM(67382,67388) = ( 67382 × 67388) / 2
LCM(67382,67388) = 4540738216 / 2
LCM(67382,67388) = 2270369108

Least Common Multiple (LCM) of 67382 and 67388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67382 and 67388. First we will calculate the prime factors of 67382 and 67388.

Prime Factorization of 67382

Prime Factorization of 67388

Now multiplying the highest exponent prime factors to calculate the LCM of 67382 and 67388.

LCM(67382,67388) = 2² × 7¹ × 4813¹ × 17¹ × 991¹
LCM(67382,67388) = 2270369108