What is the Least Common Multiple of 35500 and 35504?

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 35500 and 35504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35500 and 35504, than apply into the LCM equation.

GCF(35500,35504) = 4
LCM(35500,35504) = ( 35500 × 35504) / 4
LCM(35500,35504) = 1260392000 / 4
LCM(35500,35504) = 315098000

Least Common Multiple (LCM) of 35500 and 35504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35500 and 35504. First we will calculate the prime factors of 35500 and 35504.

Prime Factorization of 35500

Prime Factorization of 35504

Now multiplying the highest exponent prime factors to calculate the LCM of 35500 and 35504.

LCM(35500,35504) = 2⁴ × 5³ × 71¹ × 7¹ × 317¹
LCM(35500,35504) = 315098000