What is the Least Common Multiple of 35496 and 35500?

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 35496 and 35500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35496 and 35500, than apply into the LCM equation.

GCF(35496,35500) = 4
LCM(35496,35500) = ( 35496 × 35500) / 4
LCM(35496,35500) = 1260108000 / 4
LCM(35496,35500) = 315027000

Least Common Multiple (LCM) of 35496 and 35500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35496 and 35500. First we will calculate the prime factors of 35496 and 35500.

Prime Factorization of 35496

Prime Factorization of 35500

Now multiplying the highest exponent prime factors to calculate the LCM of 35496 and 35500.

LCM(35496,35500) = 2³ × 3² × 17¹ × 29¹ × 5³ × 71¹
LCM(35496,35500) = 315027000