What is the Least Common Multiple of 68385 and 68403?

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 68385 and 68403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68385 and 68403, than apply into the LCM equation.

GCF(68385,68403) = 3
LCM(68385,68403) = ( 68385 × 68403) / 3
LCM(68385,68403) = 4677739155 / 3
LCM(68385,68403) = 1559246385

Least Common Multiple (LCM) of 68385 and 68403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68385 and 68403. First we will calculate the prime factors of 68385 and 68403.

Prime Factorization of 68385

Prime Factorization of 68403

Now multiplying the highest exponent prime factors to calculate the LCM of 68385 and 68403.

LCM(68385,68403) = 3¹ × 5¹ × 47¹ × 97¹ × 151²
LCM(68385,68403) = 1559246385