What is the Least Common Multiple of 9509 and 9515?

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 9509 and 9515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9509 and 9515, than apply into the LCM equation.

GCF(9509,9515) = 1
LCM(9509,9515) = ( 9509 × 9515) / 1
LCM(9509,9515) = 90478135 / 1
LCM(9509,9515) = 90478135

Least Common Multiple (LCM) of 9509 and 9515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9509 and 9515. First we will calculate the prime factors of 9509 and 9515.

Prime Factorization of 9509

Prime Factorization of 9515

Now multiplying the highest exponent prime factors to calculate the LCM of 9509 and 9515.

LCM(9509,9515) = 37¹ × 257¹ × 5¹ × 11¹ × 173¹
LCM(9509,9515) = 90478135