What is the Least Common Multiple of 35250 and 35256?

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 35250 and 35256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35250 and 35256, than apply into the LCM equation.

GCF(35250,35256) = 6
LCM(35250,35256) = ( 35250 × 35256) / 6
LCM(35250,35256) = 1242774000 / 6
LCM(35250,35256) = 207129000

Least Common Multiple (LCM) of 35250 and 35256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35250 and 35256. First we will calculate the prime factors of 35250 and 35256.

Prime Factorization of 35250

Prime Factorization of 35256

Now multiplying the highest exponent prime factors to calculate the LCM of 35250 and 35256.

LCM(35250,35256) = 2³ × 3¹ × 5³ × 47¹ × 13¹ × 113¹
LCM(35250,35256) = 207129000