What is the Least Common Multiple of 76823 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 of 76823 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 76823 and 76829, than apply into the LCM equation.

GCF(76823,76829) = 1
LCM(76823,76829) = ( 76823 × 76829) / 1
LCM(76823,76829) = 5902234267 / 1
LCM(76823,76829) = 5902234267

Least Common Multiple (LCM) of 76823 and 76829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76823 and 76829. First we will calculate the prime factors of 76823 and 76829.

Prime Factorization of 76823

Prime Factorization of 76829

Now multiplying the highest exponent prime factors to calculate the LCM of 76823 and 76829.

LCM(76823,76829) = 17¹ × 4519¹ × 76829¹
LCM(76823,76829) = 5902234267