What is the Least Common Multiple of 69589 and 69602?

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 69589 and 69602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69589 and 69602, than apply into the LCM equation.

GCF(69589,69602) = 13
LCM(69589,69602) = ( 69589 × 69602) / 13
LCM(69589,69602) = 4843533578 / 13
LCM(69589,69602) = 372579506

Least Common Multiple (LCM) of 69589 and 69602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69589 and 69602. First we will calculate the prime factors of 69589 and 69602.

Prime Factorization of 69589

Prime Factorization of 69602

Now multiplying the highest exponent prime factors to calculate the LCM of 69589 and 69602.

LCM(69589,69602) = 13¹ × 53¹ × 101¹ × 2¹ × 2677¹
LCM(69589,69602) = 372579506