What is the Least Common Multiple of 6314 and 6333?

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 6314 and 6333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6314 and 6333, than apply into the LCM equation.

GCF(6314,6333) = 1
LCM(6314,6333) = ( 6314 × 6333) / 1
LCM(6314,6333) = 39986562 / 1
LCM(6314,6333) = 39986562

Least Common Multiple (LCM) of 6314 and 6333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6314 and 6333. First we will calculate the prime factors of 6314 and 6333.

Prime Factorization of 6314

Prime Factorization of 6333

Now multiplying the highest exponent prime factors to calculate the LCM of 6314 and 6333.

LCM(6314,6333) = 2¹ × 7¹ × 11¹ × 41¹ × 3¹ × 2111¹
LCM(6314,6333) = 39986562