GCF and LCM Calculator Logo

What is the Least Common Multiple of 76817 and 76829?

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 76817 and 76829 is 5901773293.

LCM(76817,76829) = 5901773293

LCM Calculator and
and

Least Common Multiple of 76817 and 76829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76817 and 76829, than apply into the LCM equation.

GCF(76817,76829) = 1
LCM(76817,76829) = ( 76817 × 76829) / 1
LCM(76817,76829) = 5901773293 / 1
LCM(76817,76829) = 5901773293

Least Common Multiple (LCM) of 76817 and 76829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76817 and 76829. First we will calculate the prime factors of 76817 and 76829.

Prime Factorization of 76817

Prime factors of 76817 are 13, 19, 311. Prime factorization of 76817 in exponential form is:

76817 = 131 × 191 × 3111

Prime Factorization of 76829

Prime factors of 76829 are 76829. Prime factorization of 76829 in exponential form is:

76829 = 768291

Now multiplying the highest exponent prime factors to calculate the LCM of 76817 and 76829.

LCM(76817,76829) = 131 × 191 × 3111 × 768291
LCM(76817,76829) = 5901773293