What is the Least Common Multiple of 6303 and 6319?

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 6303 and 6319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6303 and 6319, than apply into the LCM equation.

GCF(6303,6319) = 1
LCM(6303,6319) = ( 6303 × 6319) / 1
LCM(6303,6319) = 39828657 / 1
LCM(6303,6319) = 39828657

Least Common Multiple (LCM) of 6303 and 6319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6303 and 6319. First we will calculate the prime factors of 6303 and 6319.

Prime Factorization of 6303

Prime Factorization of 6319

Now multiplying the highest exponent prime factors to calculate the LCM of 6303 and 6319.

LCM(6303,6319) = 3¹ × 11¹ × 191¹ × 71¹ × 89¹
LCM(6303,6319) = 39828657