What is the Least Common Multiple of 35507 and 35519?

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 35507 and 35519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35507 and 35519, than apply into the LCM equation.

GCF(35507,35519) = 1
LCM(35507,35519) = ( 35507 × 35519) / 1
LCM(35507,35519) = 1261173133 / 1
LCM(35507,35519) = 1261173133

Least Common Multiple (LCM) of 35507 and 35519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35507 and 35519. First we will calculate the prime factors of 35507 and 35519.

Prime Factorization of 35507

Prime Factorization of 35519

Now multiplying the highest exponent prime factors to calculate the LCM of 35507 and 35519.

LCM(35507,35519) = 35507¹ × 11¹ × 3229¹
LCM(35507,35519) = 1261173133