What is the Least Common Multiple of 83835 and 83840?

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 83835 and 83840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83835 and 83840, than apply into the LCM equation.

GCF(83835,83840) = 5
LCM(83835,83840) = ( 83835 × 83840) / 5
LCM(83835,83840) = 7028726400 / 5
LCM(83835,83840) = 1405745280

Least Common Multiple (LCM) of 83835 and 83840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83835 and 83840. First we will calculate the prime factors of 83835 and 83840.

Prime Factorization of 83835

Prime Factorization of 83840

Now multiplying the highest exponent prime factors to calculate the LCM of 83835 and 83840.

LCM(83835,83840) = 3⁶ × 5¹ × 23¹ × 2⁷ × 131¹
LCM(83835,83840) = 1405745280