What is the Least Common Multiple of 83840 and 83856?

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 83840 and 83856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83840 and 83856, than apply into the LCM equation.

GCF(83840,83856) = 16
LCM(83840,83856) = ( 83840 × 83856) / 16
LCM(83840,83856) = 7030487040 / 16
LCM(83840,83856) = 439405440

Least Common Multiple (LCM) of 83840 and 83856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83840 and 83856. First we will calculate the prime factors of 83840 and 83856.

Prime Factorization of 83840

Prime Factorization of 83856

Now multiplying the highest exponent prime factors to calculate the LCM of 83840 and 83856.

LCM(83840,83856) = 2⁷ × 5¹ × 131¹ × 3¹ × 1747¹
LCM(83840,83856) = 439405440