What is the Least Common Multiple of 6258 and 6273?

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 6258 and 6273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6258 and 6273, than apply into the LCM equation.

GCF(6258,6273) = 3
LCM(6258,6273) = ( 6258 × 6273) / 3
LCM(6258,6273) = 39256434 / 3
LCM(6258,6273) = 13085478

Least Common Multiple (LCM) of 6258 and 6273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6273. First we will calculate the prime factors of 6258 and 6273.

Prime Factorization of 6258

Prime Factorization of 6273

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6273.

LCM(6258,6273) = 2¹ × 3² × 7¹ × 149¹ × 17¹ × 41¹
LCM(6258,6273) = 13085478