What is the Least Common Multiple of 35023 and 35037?

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 35023 and 35037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35023 and 35037, than apply into the LCM equation.

GCF(35023,35037) = 1
LCM(35023,35037) = ( 35023 × 35037) / 1
LCM(35023,35037) = 1227100851 / 1
LCM(35023,35037) = 1227100851

Least Common Multiple (LCM) of 35023 and 35037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35023 and 35037. First we will calculate the prime factors of 35023 and 35037.

Prime Factorization of 35023

Prime Factorization of 35037

Now multiplying the highest exponent prime factors to calculate the LCM of 35023 and 35037.

LCM(35023,35037) = 35023¹ × 3² × 17¹ × 229¹
LCM(35023,35037) = 1227100851