What is the Least Common Multiple of 69504 and 69508?

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 69508 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 69508, than apply into the LCM equation.

GCF(69504,69508) = 4
LCM(69504,69508) = ( 69504 × 69508) / 4
LCM(69504,69508) = 4831084032 / 4
LCM(69504,69508) = 1207771008

Least Common Multiple (LCM) of 69504 and 69508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69504 and 69508. First we will calculate the prime factors of 69504 and 69508.

Prime Factorization of 69504

Prime Factorization of 69508

Now multiplying the highest exponent prime factors to calculate the LCM of 69504 and 69508.

LCM(69504,69508) = 2⁷ × 3¹ × 181¹ × 17377¹
LCM(69504,69508) = 1207771008