What is the Least Common Multiple of 6294 and 6304?

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 6294 and 6304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6294 and 6304, than apply into the LCM equation.

GCF(6294,6304) = 2
LCM(6294,6304) = ( 6294 × 6304) / 2
LCM(6294,6304) = 39677376 / 2
LCM(6294,6304) = 19838688

Least Common Multiple (LCM) of 6294 and 6304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6294 and 6304. First we will calculate the prime factors of 6294 and 6304.

Prime Factorization of 6294

Prime Factorization of 6304

Now multiplying the highest exponent prime factors to calculate the LCM of 6294 and 6304.

LCM(6294,6304) = 2⁵ × 3¹ × 1049¹ × 197¹
LCM(6294,6304) = 19838688