What is the Least Common Multiple of 9270 and 9275?

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 9275 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 9275, than apply into the LCM equation.

GCF(9270,9275) = 5
LCM(9270,9275) = ( 9270 × 9275) / 5
LCM(9270,9275) = 85979250 / 5
LCM(9270,9275) = 17195850

Least Common Multiple (LCM) of 9270 and 9275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9270 and 9275. First we will calculate the prime factors of 9270 and 9275.

Prime Factorization of 9270

Prime Factorization of 9275

Now multiplying the highest exponent prime factors to calculate the LCM of 9270 and 9275.

LCM(9270,9275) = 2¹ × 3² × 5² × 103¹ × 7¹ × 53¹
LCM(9270,9275) = 17195850