What is the Least Common Multiple of 9250 and 9270?

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 9250 and 9270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9250 and 9270, than apply into the LCM equation.

GCF(9250,9270) = 10
LCM(9250,9270) = ( 9250 × 9270) / 10
LCM(9250,9270) = 85747500 / 10
LCM(9250,9270) = 8574750

Least Common Multiple (LCM) of 9250 and 9270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9250 and 9270. First we will calculate the prime factors of 9250 and 9270.

Prime Factorization of 9250

Prime Factorization of 9270

Now multiplying the highest exponent prime factors to calculate the LCM of 9250 and 9270.

LCM(9250,9270) = 2¹ × 5³ × 37¹ × 3² × 103¹
LCM(9250,9270) = 8574750