What is the Least Common Multiple of 33125 and 33143?

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 33125 and 33143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33125 and 33143, than apply into the LCM equation.

GCF(33125,33143) = 1
LCM(33125,33143) = ( 33125 × 33143) / 1
LCM(33125,33143) = 1097861875 / 1
LCM(33125,33143) = 1097861875

Least Common Multiple (LCM) of 33125 and 33143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33125 and 33143. First we will calculate the prime factors of 33125 and 33143.

Prime Factorization of 33125

Prime Factorization of 33143

Now multiplying the highest exponent prime factors to calculate the LCM of 33125 and 33143.

LCM(33125,33143) = 5⁴ × 53¹ × 11¹ × 23¹ × 131¹
LCM(33125,33143) = 1097861875