What is the Least Common Multiple of 35346 and 35355?

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 35346 and 35355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35346 and 35355, than apply into the LCM equation.

GCF(35346,35355) = 3
LCM(35346,35355) = ( 35346 × 35355) / 3
LCM(35346,35355) = 1249657830 / 3
LCM(35346,35355) = 416552610

Least Common Multiple (LCM) of 35346 and 35355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35346 and 35355. First we will calculate the prime factors of 35346 and 35355.

Prime Factorization of 35346

Prime Factorization of 35355

Now multiplying the highest exponent prime factors to calculate the LCM of 35346 and 35355.

LCM(35346,35355) = 2¹ × 3¹ × 43¹ × 137¹ × 5¹ × 2357¹
LCM(35346,35355) = 416552610