GCF and LCM Calculator Logo

What is the Least Common Multiple of 6271 and 6283?

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 6271 and 6283 is 39400693.

LCM(6271,6283) = 39400693

LCM Calculator and
and

Least Common Multiple of 6271 and 6283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6271 and 6283, than apply into the LCM equation.

GCF(6271,6283) = 1
LCM(6271,6283) = ( 6271 × 6283) / 1
LCM(6271,6283) = 39400693 / 1
LCM(6271,6283) = 39400693

Least Common Multiple (LCM) of 6271 and 6283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6271 and 6283. First we will calculate the prime factors of 6271 and 6283.

Prime Factorization of 6271

Prime factors of 6271 are 6271. Prime factorization of 6271 in exponential form is:

6271 = 62711

Prime Factorization of 6283

Prime factors of 6283 are 61, 103. Prime factorization of 6283 in exponential form is:

6283 = 611 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6271 and 6283.

LCM(6271,6283) = 62711 × 611 × 1031
LCM(6271,6283) = 39400693