What is the Least Common Multiple of 69345 and 69353?

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 69345 and 69353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69345 and 69353, than apply into the LCM equation.

GCF(69345,69353) = 1
LCM(69345,69353) = ( 69345 × 69353) / 1
LCM(69345,69353) = 4809283785 / 1
LCM(69345,69353) = 4809283785

Least Common Multiple (LCM) of 69345 and 69353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69345 and 69353. First we will calculate the prime factors of 69345 and 69353.

Prime Factorization of 69345

Prime Factorization of 69353

Now multiplying the highest exponent prime factors to calculate the LCM of 69345 and 69353.

LCM(69345,69353) = 3² × 5¹ × 23¹ × 67¹ × 223¹ × 311¹
LCM(69345,69353) = 4809283785