What is the Least Common Multiple of 83904 and 83911?

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 83904 and 83911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83904 and 83911, than apply into the LCM equation.

GCF(83904,83911) = 1
LCM(83904,83911) = ( 83904 × 83911) / 1
LCM(83904,83911) = 7040468544 / 1
LCM(83904,83911) = 7040468544

Least Common Multiple (LCM) of 83904 and 83911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83904 and 83911. First we will calculate the prime factors of 83904 and 83911.

Prime Factorization of 83904

Prime Factorization of 83911

Now multiplying the highest exponent prime factors to calculate the LCM of 83904 and 83911.

LCM(83904,83911) = 2⁶ × 3¹ × 19¹ × 23¹ × 83911¹
LCM(83904,83911) = 7040468544