What is the Least Common Multiple of 83889 and 83904?

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 83889 and 83904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83889 and 83904, than apply into the LCM equation.

GCF(83889,83904) = 3
LCM(83889,83904) = ( 83889 × 83904) / 3
LCM(83889,83904) = 7038622656 / 3
LCM(83889,83904) = 2346207552

Least Common Multiple (LCM) of 83889 and 83904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83889 and 83904. First we will calculate the prime factors of 83889 and 83904.

Prime Factorization of 83889

Prime Factorization of 83904

Now multiplying the highest exponent prime factors to calculate the LCM of 83889 and 83904.

LCM(83889,83904) = 3³ × 13¹ × 239¹ × 2⁶ × 19¹ × 23¹
LCM(83889,83904) = 2346207552