What is the Least Common Multiple of 35504 and 35509?

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 35504 and 35509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35504 and 35509, than apply into the LCM equation.

GCF(35504,35509) = 1
LCM(35504,35509) = ( 35504 × 35509) / 1
LCM(35504,35509) = 1260711536 / 1
LCM(35504,35509) = 1260711536

Least Common Multiple (LCM) of 35504 and 35509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35504 and 35509. First we will calculate the prime factors of 35504 and 35509.

Prime Factorization of 35504

Prime Factorization of 35509

Now multiplying the highest exponent prime factors to calculate the LCM of 35504 and 35509.

LCM(35504,35509) = 2⁴ × 7¹ × 317¹ × 35509¹
LCM(35504,35509) = 1260711536