What is the Least Common Multiple of 35506 and 35521?

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 35506 and 35521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35506 and 35521, than apply into the LCM equation.

GCF(35506,35521) = 1
LCM(35506,35521) = ( 35506 × 35521) / 1
LCM(35506,35521) = 1261208626 / 1
LCM(35506,35521) = 1261208626

Least Common Multiple (LCM) of 35506 and 35521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35506 and 35521. First we will calculate the prime factors of 35506 and 35521.

Prime Factorization of 35506

Prime Factorization of 35521

Now multiplying the highest exponent prime factors to calculate the LCM of 35506 and 35521.

LCM(35506,35521) = 2¹ × 41¹ × 433¹ × 35521¹
LCM(35506,35521) = 1261208626