What is the Least Common Multiple of 35886 and 35905?

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 35886 and 35905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35886 and 35905, than apply into the LCM equation.

GCF(35886,35905) = 1
LCM(35886,35905) = ( 35886 × 35905) / 1
LCM(35886,35905) = 1288486830 / 1
LCM(35886,35905) = 1288486830

Least Common Multiple (LCM) of 35886 and 35905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35886 and 35905. First we will calculate the prime factors of 35886 and 35905.

Prime Factorization of 35886

Prime Factorization of 35905

Now multiplying the highest exponent prime factors to calculate the LCM of 35886 and 35905.

LCM(35886,35905) = 2¹ × 3¹ × 5981¹ × 5¹ × 43¹ × 167¹
LCM(35886,35905) = 1288486830