What is the Least Common Multiple of 6294 and 6300?

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 6300 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 6300, than apply into the LCM equation.

GCF(6294,6300) = 6
LCM(6294,6300) = ( 6294 × 6300) / 6
LCM(6294,6300) = 39652200 / 6
LCM(6294,6300) = 6608700

Least Common Multiple (LCM) of 6294 and 6300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6294 and 6300. First we will calculate the prime factors of 6294 and 6300.

Prime Factorization of 6294

Prime Factorization of 6300

Now multiplying the highest exponent prime factors to calculate the LCM of 6294 and 6300.

LCM(6294,6300) = 2² × 3² × 1049¹ × 5² × 7¹
LCM(6294,6300) = 6608700