What is the Least Common Multiple of 69330 and 69345?

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 69330 and 69345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69330 and 69345, than apply into the LCM equation.

GCF(69330,69345) = 15
LCM(69330,69345) = ( 69330 × 69345) / 15
LCM(69330,69345) = 4807688850 / 15
LCM(69330,69345) = 320512590

Least Common Multiple (LCM) of 69330 and 69345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69330 and 69345. First we will calculate the prime factors of 69330 and 69345.

Prime Factorization of 69330

Prime Factorization of 69345

Now multiplying the highest exponent prime factors to calculate the LCM of 69330 and 69345.

LCM(69330,69345) = 2¹ × 3² × 5¹ × 2311¹ × 23¹ × 67¹
LCM(69330,69345) = 320512590