What is the Least Common Multiple of 68295 and 68303?

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 68295 and 68303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68295 and 68303, than apply into the LCM equation.

GCF(68295,68303) = 1
LCM(68295,68303) = ( 68295 × 68303) / 1
LCM(68295,68303) = 4664753385 / 1
LCM(68295,68303) = 4664753385

Least Common Multiple (LCM) of 68295 and 68303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68295 and 68303. First we will calculate the prime factors of 68295 and 68303.

Prime Factorization of 68295

Prime Factorization of 68303

Now multiplying the highest exponent prime factors to calculate the LCM of 68295 and 68303.

LCM(68295,68303) = 3¹ × 5¹ × 29¹ × 157¹ × 167¹ × 409¹
LCM(68295,68303) = 4664753385