What is the Least Common Multiple of 35406 and 35426?

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 35406 and 35426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35406 and 35426, than apply into the LCM equation.

GCF(35406,35426) = 2
LCM(35406,35426) = ( 35406 × 35426) / 2
LCM(35406,35426) = 1254292956 / 2
LCM(35406,35426) = 627146478

Least Common Multiple (LCM) of 35406 and 35426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35406 and 35426. First we will calculate the prime factors of 35406 and 35426.

Prime Factorization of 35406

Prime Factorization of 35426

Now multiplying the highest exponent prime factors to calculate the LCM of 35406 and 35426.

LCM(35406,35426) = 2¹ × 3² × 7¹ × 281¹ × 17713¹
LCM(35406,35426) = 627146478