What is the Least Common Multiple of 35894 and 35911?

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 35894 and 35911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35894 and 35911, than apply into the LCM equation.

GCF(35894,35911) = 1
LCM(35894,35911) = ( 35894 × 35911) / 1
LCM(35894,35911) = 1288989434 / 1
LCM(35894,35911) = 1288989434

Least Common Multiple (LCM) of 35894 and 35911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35894 and 35911. First we will calculate the prime factors of 35894 and 35911.

Prime Factorization of 35894

Prime Factorization of 35911

Now multiplying the highest exponent prime factors to calculate the LCM of 35894 and 35911.

LCM(35894,35911) = 2¹ × 131¹ × 137¹ × 35911¹
LCM(35894,35911) = 1288989434