What is the Least Common Multiple of 69345 and 69354?

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 69354 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 69354, than apply into the LCM equation.

GCF(69345,69354) = 9
LCM(69345,69354) = ( 69345 × 69354) / 9
LCM(69345,69354) = 4809353130 / 9
LCM(69345,69354) = 534372570

Least Common Multiple (LCM) of 69345 and 69354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69345 and 69354. First we will calculate the prime factors of 69345 and 69354.

Prime Factorization of 69345

Prime Factorization of 69354

Now multiplying the highest exponent prime factors to calculate the LCM of 69345 and 69354.

LCM(69345,69354) = 3² × 5¹ × 23¹ × 67¹ × 2¹ × 3853¹
LCM(69345,69354) = 534372570