What is the Least Common Multiple of 35426 and 35442?

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 35426 and 35442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35426 and 35442, than apply into the LCM equation.

GCF(35426,35442) = 2
LCM(35426,35442) = ( 35426 × 35442) / 2
LCM(35426,35442) = 1255568292 / 2
LCM(35426,35442) = 627784146

Least Common Multiple (LCM) of 35426 and 35442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35426 and 35442. First we will calculate the prime factors of 35426 and 35442.

Prime Factorization of 35426

Prime Factorization of 35442

Now multiplying the highest exponent prime factors to calculate the LCM of 35426 and 35442.

LCM(35426,35442) = 2¹ × 17713¹ × 3² × 11¹ × 179¹
LCM(35426,35442) = 627784146