What is the Least Common Multiple of 59157 and 59169?

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 59157 and 59169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59157 and 59169, than apply into the LCM equation.

GCF(59157,59169) = 3
LCM(59157,59169) = ( 59157 × 59169) / 3
LCM(59157,59169) = 3500260533 / 3
LCM(59157,59169) = 1166753511

Least Common Multiple (LCM) of 59157 and 59169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59157 and 59169. First we will calculate the prime factors of 59157 and 59169.

Prime Factorization of 59157

Prime Factorization of 59169

Now multiplying the highest exponent prime factors to calculate the LCM of 59157 and 59169.

LCM(59157,59169) = 3³ × 7¹ × 313¹ × 11² × 163¹
LCM(59157,59169) = 1166753511