What is the Least Common Multiple of 69345 and 69357?

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 69357 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 69357, than apply into the LCM equation.

GCF(69345,69357) = 3
LCM(69345,69357) = ( 69345 × 69357) / 3
LCM(69345,69357) = 4809561165 / 3
LCM(69345,69357) = 1603187055

Least Common Multiple (LCM) of 69345 and 69357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69345 and 69357. First we will calculate the prime factors of 69345 and 69357.

Prime Factorization of 69345

Prime Factorization of 69357

Now multiplying the highest exponent prime factors to calculate the LCM of 69345 and 69357.

LCM(69345,69357) = 3² × 5¹ × 23¹ × 67¹ × 61¹ × 379¹
LCM(69345,69357) = 1603187055