What is the Least Common Multiple of 83204 and 83211?

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 83204 and 83211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83204 and 83211, than apply into the LCM equation.

GCF(83204,83211) = 1
LCM(83204,83211) = ( 83204 × 83211) / 1
LCM(83204,83211) = 6923488044 / 1
LCM(83204,83211) = 6923488044

Least Common Multiple (LCM) of 83204 and 83211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83204 and 83211. First we will calculate the prime factors of 83204 and 83211.

Prime Factorization of 83204

Prime Factorization of 83211

Now multiplying the highest exponent prime factors to calculate the LCM of 83204 and 83211.

LCM(83204,83211) = 2² × 11¹ × 31¹ × 61¹ × 3¹ × 27737¹
LCM(83204,83211) = 6923488044