GCF and LCM Calculator Logo

What is the Least Common Multiple of 3841 and 3851?

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 3841 and 3851 is 14791691.

LCM(3841,3851) = 14791691

LCM Calculator and
and

Least Common Multiple of 3841 and 3851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3841 and 3851, than apply into the LCM equation.

GCF(3841,3851) = 1
LCM(3841,3851) = ( 3841 × 3851) / 1
LCM(3841,3851) = 14791691 / 1
LCM(3841,3851) = 14791691

Least Common Multiple (LCM) of 3841 and 3851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3841 and 3851. First we will calculate the prime factors of 3841 and 3851.

Prime Factorization of 3841

Prime factors of 3841 are 23, 167. Prime factorization of 3841 in exponential form is:

3841 = 231 × 1671

Prime Factorization of 3851

Prime factors of 3851 are 3851. Prime factorization of 3851 in exponential form is:

3851 = 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 3841 and 3851.

LCM(3841,3851) = 231 × 1671 × 38511
LCM(3841,3851) = 14791691