What is the Least Common Multiple of 33125 and 33130?

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 33130 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 33130, than apply into the LCM equation.

GCF(33125,33130) = 5
LCM(33125,33130) = ( 33125 × 33130) / 5
LCM(33125,33130) = 1097431250 / 5
LCM(33125,33130) = 219486250

Least Common Multiple (LCM) of 33125 and 33130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33125 and 33130. First we will calculate the prime factors of 33125 and 33130.

Prime Factorization of 33125

Prime Factorization of 33130

Now multiplying the highest exponent prime factors to calculate the LCM of 33125 and 33130.

LCM(33125,33130) = 5⁴ × 53¹ × 2¹ × 3313¹
LCM(33125,33130) = 219486250