What is the Least Common Multiple of 53125 and 53133?

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 53125 and 53133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53125 and 53133, than apply into the LCM equation.

GCF(53125,53133) = 1
LCM(53125,53133) = ( 53125 × 53133) / 1
LCM(53125,53133) = 2822690625 / 1
LCM(53125,53133) = 2822690625

Least Common Multiple (LCM) of 53125 and 53133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53125 and 53133. First we will calculate the prime factors of 53125 and 53133.

Prime Factorization of 53125

Prime Factorization of 53133

Now multiplying the highest exponent prime factors to calculate the LCM of 53125 and 53133.

LCM(53125,53133) = 5⁵ × 17¹ × 3¹ × 89¹ × 199¹
LCM(53125,53133) = 2822690625