GCF and LCM Calculator Logo

What is the Least Common Multiple of 6255 and 6274?

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 (LCM) of 6255 and 6274 is 39243870.

LCM(6255,6274) = 39243870

LCM Calculator and
and

Least Common Multiple of 6255 and 6274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6255 and 6274, than apply into the LCM equation.

GCF(6255,6274) = 1
LCM(6255,6274) = ( 6255 × 6274) / 1
LCM(6255,6274) = 39243870 / 1
LCM(6255,6274) = 39243870

Least Common Multiple (LCM) of 6255 and 6274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6255 and 6274. First we will calculate the prime factors of 6255 and 6274.

Prime Factorization of 6255

Prime factors of 6255 are 3, 5, 139. Prime factorization of 6255 in exponential form is:

6255 = 32 × 51 × 1391

Prime Factorization of 6274

Prime factors of 6274 are 2, 3137. Prime factorization of 6274 in exponential form is:

6274 = 21 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 6255 and 6274.

LCM(6255,6274) = 32 × 51 × 1391 × 21 × 31371
LCM(6255,6274) = 39243870