What is the Least Common Multiple of 59121 and 59133?

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 59121 and 59133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59121 and 59133, than apply into the LCM equation.

GCF(59121,59133) = 3
LCM(59121,59133) = ( 59121 × 59133) / 3
LCM(59121,59133) = 3496002093 / 3
LCM(59121,59133) = 1165334031

Least Common Multiple (LCM) of 59121 and 59133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59121 and 59133. First we will calculate the prime factors of 59121 and 59133.

Prime Factorization of 59121

Prime Factorization of 59133

Now multiplying the highest exponent prime factors to calculate the LCM of 59121 and 59133.

LCM(59121,59133) = 3² × 6569¹ × 23¹ × 857¹
LCM(59121,59133) = 1165334031