What is the Least Common Multiple of 9279 and 9285?

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 9279 and 9285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9279 and 9285, than apply into the LCM equation.

GCF(9279,9285) = 3
LCM(9279,9285) = ( 9279 × 9285) / 3
LCM(9279,9285) = 86155515 / 3
LCM(9279,9285) = 28718505

Least Common Multiple (LCM) of 9279 and 9285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9279 and 9285. First we will calculate the prime factors of 9279 and 9285.

Prime Factorization of 9279

Prime Factorization of 9285

Now multiplying the highest exponent prime factors to calculate the LCM of 9279 and 9285.

LCM(9279,9285) = 3² × 1031¹ × 5¹ × 619¹
LCM(9279,9285) = 28718505