What is the Least Common Multiple of 69345 and 69350?

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 69350 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 69350, than apply into the LCM equation.

GCF(69345,69350) = 5
LCM(69345,69350) = ( 69345 × 69350) / 5
LCM(69345,69350) = 4809075750 / 5
LCM(69345,69350) = 961815150

Least Common Multiple (LCM) of 69345 and 69350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69345 and 69350. First we will calculate the prime factors of 69345 and 69350.

Prime Factorization of 69345

Prime Factorization of 69350

Now multiplying the highest exponent prime factors to calculate the LCM of 69345 and 69350.

LCM(69345,69350) = 3² × 5² × 23¹ × 67¹ × 2¹ × 19¹ × 73¹
LCM(69345,69350) = 961815150