What is the Least Common Multiple of 35395 and 35406?

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 35395 and 35406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35395 and 35406, than apply into the LCM equation.

GCF(35395,35406) = 1
LCM(35395,35406) = ( 35395 × 35406) / 1
LCM(35395,35406) = 1253195370 / 1
LCM(35395,35406) = 1253195370

Least Common Multiple (LCM) of 35395 and 35406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35395 and 35406. First we will calculate the prime factors of 35395 and 35406.

Prime Factorization of 35395

Prime Factorization of 35406

Now multiplying the highest exponent prime factors to calculate the LCM of 35395 and 35406.

LCM(35395,35406) = 5¹ × 7079¹ × 2¹ × 3² × 7¹ × 281¹
LCM(35395,35406) = 1253195370