What is the Least Common Multiple of 9510 and 9525?

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 9510 and 9525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9510 and 9525, than apply into the LCM equation.

GCF(9510,9525) = 15
LCM(9510,9525) = ( 9510 × 9525) / 15
LCM(9510,9525) = 90582750 / 15
LCM(9510,9525) = 6038850

Least Common Multiple (LCM) of 9510 and 9525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9510 and 9525. First we will calculate the prime factors of 9510 and 9525.

Prime Factorization of 9510

Prime Factorization of 9525

Now multiplying the highest exponent prime factors to calculate the LCM of 9510 and 9525.

LCM(9510,9525) = 2¹ × 3¹ × 5² × 317¹ × 127¹
LCM(9510,9525) = 6038850