GCF and LCM Calculator Logo

What is the Least Common Multiple of 6274 and 6281?

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 6274 and 6281 is 39406994.

LCM(6274,6281) = 39406994

LCM Calculator and
and

Least Common Multiple of 6274 and 6281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6274 and 6281, than apply into the LCM equation.

GCF(6274,6281) = 1
LCM(6274,6281) = ( 6274 × 6281) / 1
LCM(6274,6281) = 39406994 / 1
LCM(6274,6281) = 39406994

Least Common Multiple (LCM) of 6274 and 6281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6274 and 6281. First we will calculate the prime factors of 6274 and 6281.

Prime Factorization of 6274

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

6274 = 21 × 31371

Prime Factorization of 6281

Prime factors of 6281 are 11, 571. Prime factorization of 6281 in exponential form is:

6281 = 111 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 6274 and 6281.

LCM(6274,6281) = 21 × 31371 × 111 × 5711
LCM(6274,6281) = 39406994