What is the Least Common Multiple of 35856 and 35875?

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 35856 and 35875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35856 and 35875, than apply into the LCM equation.

GCF(35856,35875) = 1
LCM(35856,35875) = ( 35856 × 35875) / 1
LCM(35856,35875) = 1286334000 / 1
LCM(35856,35875) = 1286334000

Least Common Multiple (LCM) of 35856 and 35875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35856 and 35875. First we will calculate the prime factors of 35856 and 35875.

Prime Factorization of 35856

Prime Factorization of 35875

Now multiplying the highest exponent prime factors to calculate the LCM of 35856 and 35875.

LCM(35856,35875) = 2⁴ × 3³ × 83¹ × 5³ × 7¹ × 41¹
LCM(35856,35875) = 1286334000