What is the Least Common Multiple of 35504 and 35524?

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 35524 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 35524, than apply into the LCM equation.

GCF(35504,35524) = 4
LCM(35504,35524) = ( 35504 × 35524) / 4
LCM(35504,35524) = 1261244096 / 4
LCM(35504,35524) = 315311024

Least Common Multiple (LCM) of 35504 and 35524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35504 and 35524. First we will calculate the prime factors of 35504 and 35524.

Prime Factorization of 35504

Prime Factorization of 35524

Now multiplying the highest exponent prime factors to calculate the LCM of 35504 and 35524.

LCM(35504,35524) = 2⁴ × 7¹ × 317¹ × 83¹ × 107¹
LCM(35504,35524) = 315311024