What is the Least Common Multiple of 90382 and 90386?

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 90382 and 90386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90382 and 90386, than apply into the LCM equation.

GCF(90382,90386) = 2
LCM(90382,90386) = ( 90382 × 90386) / 2
LCM(90382,90386) = 8169267452 / 2
LCM(90382,90386) = 4084633726

Least Common Multiple (LCM) of 90382 and 90386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90382 and 90386. First we will calculate the prime factors of 90382 and 90386.

Prime Factorization of 90382

Prime Factorization of 90386

Now multiplying the highest exponent prime factors to calculate the LCM of 90382 and 90386.

LCM(90382,90386) = 2¹ × 45191¹ × 43¹ × 1051¹
LCM(90382,90386) = 4084633726