What is the Least Common Multiple of 69285 and 69305?

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 69285 and 69305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69285 and 69305, than apply into the LCM equation.

GCF(69285,69305) = 5
LCM(69285,69305) = ( 69285 × 69305) / 5
LCM(69285,69305) = 4801796925 / 5
LCM(69285,69305) = 960359385

Least Common Multiple (LCM) of 69285 and 69305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69285 and 69305. First we will calculate the prime factors of 69285 and 69305.

Prime Factorization of 69285

Prime Factorization of 69305

Now multiplying the highest exponent prime factors to calculate the LCM of 69285 and 69305.

LCM(69285,69305) = 3¹ × 5¹ × 31¹ × 149¹ × 83¹ × 167¹
LCM(69285,69305) = 960359385