What is the Least Common Multiple of 69320 and 69335?

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 69320 and 69335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69320 and 69335, than apply into the LCM equation.

GCF(69320,69335) = 5
LCM(69320,69335) = ( 69320 × 69335) / 5
LCM(69320,69335) = 4806302200 / 5
LCM(69320,69335) = 961260440

Least Common Multiple (LCM) of 69320 and 69335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69320 and 69335. First we will calculate the prime factors of 69320 and 69335.

Prime Factorization of 69320

Prime Factorization of 69335

Now multiplying the highest exponent prime factors to calculate the LCM of 69320 and 69335.

LCM(69320,69335) = 2³ × 5¹ × 1733¹ × 7² × 283¹
LCM(69320,69335) = 961260440