What is the Least Common Multiple of 69504 and 69517?

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 69504 and 69517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69504 and 69517, than apply into the LCM equation.

GCF(69504,69517) = 1
LCM(69504,69517) = ( 69504 × 69517) / 1
LCM(69504,69517) = 4831709568 / 1
LCM(69504,69517) = 4831709568

Least Common Multiple (LCM) of 69504 and 69517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69504 and 69517. First we will calculate the prime factors of 69504 and 69517.

Prime Factorization of 69504

Prime Factorization of 69517

Now multiplying the highest exponent prime factors to calculate the LCM of 69504 and 69517.

LCM(69504,69517) = 2⁷ × 3¹ × 181¹ × 7¹ × 9931¹
LCM(69504,69517) = 4831709568