What is the Least Common Multiple of 6314 and 6328?

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 6328 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 6328, than apply into the LCM equation.

GCF(6314,6328) = 14
LCM(6314,6328) = ( 6314 × 6328) / 14
LCM(6314,6328) = 39954992 / 14
LCM(6314,6328) = 2853928

Least Common Multiple (LCM) of 6314 and 6328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6314 and 6328. First we will calculate the prime factors of 6314 and 6328.

Prime Factorization of 6314

Prime Factorization of 6328

Now multiplying the highest exponent prime factors to calculate the LCM of 6314 and 6328.

LCM(6314,6328) = 2³ × 7¹ × 11¹ × 41¹ × 113¹
LCM(6314,6328) = 2853928