What is the Least Common Multiple of 96509 and 96527?

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 96509 and 96527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96509 and 96527, than apply into the LCM equation.

GCF(96509,96527) = 1
LCM(96509,96527) = ( 96509 × 96527) / 1
LCM(96509,96527) = 9315724243 / 1
LCM(96509,96527) = 9315724243

Least Common Multiple (LCM) of 96509 and 96527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96509 and 96527. First we will calculate the prime factors of 96509 and 96527.

Prime Factorization of 96509

Prime Factorization of 96527

Now multiplying the highest exponent prime factors to calculate the LCM of 96509 and 96527.

LCM(96509,96527) = 7¹ × 17¹ × 811¹ × 96527¹
LCM(96509,96527) = 9315724243