What is the Least Common Multiple of 35232 and 35250?

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 35232 and 35250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35232 and 35250, than apply into the LCM equation.

GCF(35232,35250) = 6
LCM(35232,35250) = ( 35232 × 35250) / 6
LCM(35232,35250) = 1241928000 / 6
LCM(35232,35250) = 206988000

Least Common Multiple (LCM) of 35232 and 35250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35232 and 35250. First we will calculate the prime factors of 35232 and 35250.

Prime Factorization of 35232

Prime Factorization of 35250

Now multiplying the highest exponent prime factors to calculate the LCM of 35232 and 35250.

LCM(35232,35250) = 2⁵ × 3¹ × 367¹ × 5³ × 47¹
LCM(35232,35250) = 206988000