What is the Least Common Multiple of 35853 and 35859?

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 35853 and 35859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35853 and 35859, than apply into the LCM equation.

GCF(35853,35859) = 3
LCM(35853,35859) = ( 35853 × 35859) / 3
LCM(35853,35859) = 1285652727 / 3
LCM(35853,35859) = 428550909

Least Common Multiple (LCM) of 35853 and 35859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35853 and 35859. First we will calculate the prime factors of 35853 and 35859.

Prime Factorization of 35853

Prime Factorization of 35859

Now multiplying the highest exponent prime factors to calculate the LCM of 35853 and 35859.

LCM(35853,35859) = 3¹ × 17¹ × 19¹ × 37¹ × 11953¹
LCM(35853,35859) = 428550909