What is the Least Common Multiple of 35284 and 35296?

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 35284 and 35296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35284 and 35296, than apply into the LCM equation.

GCF(35284,35296) = 4
LCM(35284,35296) = ( 35284 × 35296) / 4
LCM(35284,35296) = 1245384064 / 4
LCM(35284,35296) = 311346016

Least Common Multiple (LCM) of 35284 and 35296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35284 and 35296. First we will calculate the prime factors of 35284 and 35296.

Prime Factorization of 35284

Prime Factorization of 35296

Now multiplying the highest exponent prime factors to calculate the LCM of 35284 and 35296.

LCM(35284,35296) = 2⁵ × 8821¹ × 1103¹
LCM(35284,35296) = 311346016