What is the Least Common Multiple of 90321 and 90340?

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 90321 and 90340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90321 and 90340, than apply into the LCM equation.

GCF(90321,90340) = 1
LCM(90321,90340) = ( 90321 × 90340) / 1
LCM(90321,90340) = 8159599140 / 1
LCM(90321,90340) = 8159599140

Least Common Multiple (LCM) of 90321 and 90340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90321 and 90340. First we will calculate the prime factors of 90321 and 90340.

Prime Factorization of 90321

Prime Factorization of 90340

Now multiplying the highest exponent prime factors to calculate the LCM of 90321 and 90340.

LCM(90321,90340) = 3¹ × 7¹ × 11¹ × 17¹ × 23¹ × 2² × 5¹ × 4517¹
LCM(90321,90340) = 8159599140