What is the Least Common Multiple of 35432 and 35441?

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 35432 and 35441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35432 and 35441, than apply into the LCM equation.

GCF(35432,35441) = 1
LCM(35432,35441) = ( 35432 × 35441) / 1
LCM(35432,35441) = 1255745512 / 1
LCM(35432,35441) = 1255745512

Least Common Multiple (LCM) of 35432 and 35441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35432 and 35441. First we will calculate the prime factors of 35432 and 35441.

Prime Factorization of 35432

Prime Factorization of 35441

Now multiplying the highest exponent prime factors to calculate the LCM of 35432 and 35441.

LCM(35432,35441) = 2³ × 43¹ × 103¹ × 7¹ × 61¹ × 83¹
LCM(35432,35441) = 1255745512