GCF and LCM Calculator Logo

What is the Least Common Multiple of 3817 and 3822?

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 3817 and 3822 is 14588574.

LCM(3817,3822) = 14588574

LCM Calculator and
and

Least Common Multiple of 3817 and 3822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3817 and 3822, than apply into the LCM equation.

GCF(3817,3822) = 1
LCM(3817,3822) = ( 3817 × 3822) / 1
LCM(3817,3822) = 14588574 / 1
LCM(3817,3822) = 14588574

Least Common Multiple (LCM) of 3817 and 3822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3817 and 3822. First we will calculate the prime factors of 3817 and 3822.

Prime Factorization of 3817

Prime factors of 3817 are 11, 347. Prime factorization of 3817 in exponential form is:

3817 = 111 × 3471

Prime Factorization of 3822

Prime factors of 3822 are 2, 3, 7, 13. Prime factorization of 3822 in exponential form is:

3822 = 21 × 31 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3817 and 3822.

LCM(3817,3822) = 111 × 3471 × 21 × 31 × 72 × 131
LCM(3817,3822) = 14588574