What is the Least Common Multiple of 90309 and 90321?

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 90309 and 90321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90309 and 90321, than apply into the LCM equation.

GCF(90309,90321) = 3
LCM(90309,90321) = ( 90309 × 90321) / 3
LCM(90309,90321) = 8156799189 / 3
LCM(90309,90321) = 2718933063

Least Common Multiple (LCM) of 90309 and 90321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90309 and 90321. First we will calculate the prime factors of 90309 and 90321.

Prime Factorization of 90309

Prime Factorization of 90321

Now multiplying the highest exponent prime factors to calculate the LCM of 90309 and 90321.

LCM(90309,90321) = 3¹ × 30103¹ × 7¹ × 11¹ × 17¹ × 23¹
LCM(90309,90321) = 2718933063