What is the Least Common Multiple of 9270 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 9270 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 9270 and 9285, than apply into the LCM equation.

GCF(9270,9285) = 15
LCM(9270,9285) = ( 9270 × 9285) / 15
LCM(9270,9285) = 86071950 / 15
LCM(9270,9285) = 5738130

Least Common Multiple (LCM) of 9270 and 9285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9270 and 9285. First we will calculate the prime factors of 9270 and 9285.

Prime Factorization of 9270

Prime Factorization of 9285

Now multiplying the highest exponent prime factors to calculate the LCM of 9270 and 9285.

LCM(9270,9285) = 2¹ × 3² × 5¹ × 103¹ × 619¹
LCM(9270,9285) = 5738130