What is the Least Common Multiple of 35504 and 35508?

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 35508 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 35508, than apply into the LCM equation.

GCF(35504,35508) = 4
LCM(35504,35508) = ( 35504 × 35508) / 4
LCM(35504,35508) = 1260676032 / 4
LCM(35504,35508) = 315169008

Least Common Multiple (LCM) of 35504 and 35508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35504 and 35508. First we will calculate the prime factors of 35504 and 35508.

Prime Factorization of 35504

Prime Factorization of 35508

Now multiplying the highest exponent prime factors to calculate the LCM of 35504 and 35508.

LCM(35504,35508) = 2⁴ × 7¹ × 317¹ × 3¹ × 11¹ × 269¹
LCM(35504,35508) = 315169008