What is the Least Common Multiple of 14385 and 14397?

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 14385 and 14397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14385 and 14397, than apply into the LCM equation.

GCF(14385,14397) = 3
LCM(14385,14397) = ( 14385 × 14397) / 3
LCM(14385,14397) = 207100845 / 3
LCM(14385,14397) = 69033615

Least Common Multiple (LCM) of 14385 and 14397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14385 and 14397. First we will calculate the prime factors of 14385 and 14397.

Prime Factorization of 14385

Prime Factorization of 14397

Now multiplying the highest exponent prime factors to calculate the LCM of 14385 and 14397.

LCM(14385,14397) = 3¹ × 5¹ × 7¹ × 137¹ × 4799¹
LCM(14385,14397) = 69033615