What is the Least Common Multiple of 69297 and 69309?

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 69297 and 69309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69297 and 69309, than apply into the LCM equation.

GCF(69297,69309) = 3
LCM(69297,69309) = ( 69297 × 69309) / 3
LCM(69297,69309) = 4802905773 / 3
LCM(69297,69309) = 1600968591

Least Common Multiple (LCM) of 69297 and 69309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69297 and 69309. First we will calculate the prime factors of 69297 and 69309.

Prime Factorization of 69297

Prime Factorization of 69309

Now multiplying the highest exponent prime factors to calculate the LCM of 69297 and 69309.

LCM(69297,69309) = 3³ × 23099¹ × 17¹ × 151¹
LCM(69297,69309) = 1600968591