What is the Least Common Multiple of 83809 and 83828?

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 83809 and 83828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83809 and 83828, than apply into the LCM equation.

GCF(83809,83828) = 19
LCM(83809,83828) = ( 83809 × 83828) / 19
LCM(83809,83828) = 7025540852 / 19
LCM(83809,83828) = 369765308

Least Common Multiple (LCM) of 83809 and 83828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83809 and 83828. First we will calculate the prime factors of 83809 and 83828.

Prime Factorization of 83809

Prime Factorization of 83828

Now multiplying the highest exponent prime factors to calculate the LCM of 83809 and 83828.

LCM(83809,83828) = 11¹ × 19¹ × 401¹ × 2² × 1103¹
LCM(83809,83828) = 369765308