What is the Least Common Multiple of 69305 and 69310?

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 69310 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 69310, than apply into the LCM equation.

GCF(69305,69310) = 5
LCM(69305,69310) = ( 69305 × 69310) / 5
LCM(69305,69310) = 4803529550 / 5
LCM(69305,69310) = 960705910

Least Common Multiple (LCM) of 69305 and 69310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69305 and 69310. First we will calculate the prime factors of 69305 and 69310.

Prime Factorization of 69305

Prime Factorization of 69310

Now multiplying the highest exponent prime factors to calculate the LCM of 69305 and 69310.

LCM(69305,69310) = 5¹ × 83¹ × 167¹ × 2¹ × 29¹ × 239¹
LCM(69305,69310) = 960705910