What is the Least Common Multiple of 9250 and 9265?

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 9265 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 9265, than apply into the LCM equation.

GCF(9250,9265) = 5
LCM(9250,9265) = ( 9250 × 9265) / 5
LCM(9250,9265) = 85701250 / 5
LCM(9250,9265) = 17140250

Least Common Multiple (LCM) of 9250 and 9265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9250 and 9265. First we will calculate the prime factors of 9250 and 9265.

Prime Factorization of 9250

Prime Factorization of 9265

Now multiplying the highest exponent prime factors to calculate the LCM of 9250 and 9265.

LCM(9250,9265) = 2¹ × 5³ × 37¹ × 17¹ × 109¹
LCM(9250,9265) = 17140250