What is the Least Common Multiple of 69305 and 69320?

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 69305 and 69320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69305 and 69320, than apply into the LCM equation.

GCF(69305,69320) = 5
LCM(69305,69320) = ( 69305 × 69320) / 5
LCM(69305,69320) = 4804222600 / 5
LCM(69305,69320) = 960844520

Least Common Multiple (LCM) of 69305 and 69320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69305 and 69320. First we will calculate the prime factors of 69305 and 69320.

Prime Factorization of 69305

Prime Factorization of 69320

Now multiplying the highest exponent prime factors to calculate the LCM of 69305 and 69320.

LCM(69305,69320) = 5¹ × 83¹ × 167¹ × 2³ × 1733¹
LCM(69305,69320) = 960844520