What is the Least Common Multiple of 83790 and 83808?

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 83790 and 83808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83790 and 83808, than apply into the LCM equation.

GCF(83790,83808) = 18
LCM(83790,83808) = ( 83790 × 83808) / 18
LCM(83790,83808) = 7022272320 / 18
LCM(83790,83808) = 390126240

Least Common Multiple (LCM) of 83790 and 83808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83790 and 83808. First we will calculate the prime factors of 83790 and 83808.

Prime Factorization of 83790

Prime Factorization of 83808

Now multiplying the highest exponent prime factors to calculate the LCM of 83790 and 83808.

LCM(83790,83808) = 2⁵ × 3³ × 5¹ × 7² × 19¹ × 97¹
LCM(83790,83808) = 390126240