What is the Least Common Multiple of 9475 and 9495?

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 9475 and 9495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9475 and 9495, than apply into the LCM equation.

GCF(9475,9495) = 5
LCM(9475,9495) = ( 9475 × 9495) / 5
LCM(9475,9495) = 89965125 / 5
LCM(9475,9495) = 17993025

Least Common Multiple (LCM) of 9475 and 9495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9475 and 9495. First we will calculate the prime factors of 9475 and 9495.

Prime Factorization of 9475

Prime Factorization of 9495

Now multiplying the highest exponent prime factors to calculate the LCM of 9475 and 9495.

LCM(9475,9495) = 5² × 379¹ × 3² × 211¹
LCM(9475,9495) = 17993025