What is the Least Common Multiple of 59097 and 59109?

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 59097 and 59109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59097 and 59109, than apply into the LCM equation.

GCF(59097,59109) = 3
LCM(59097,59109) = ( 59097 × 59109) / 3
LCM(59097,59109) = 3493164573 / 3
LCM(59097,59109) = 1164388191

Least Common Multiple (LCM) of 59097 and 59109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59097 and 59109. First we will calculate the prime factors of 59097 and 59109.

Prime Factorization of 59097

Prime Factorization of 59109

Now multiplying the highest exponent prime factors to calculate the LCM of 59097 and 59109.

LCM(59097,59109) = 3¹ × 19699¹ × 17¹ × 19¹ × 61¹
LCM(59097,59109) = 1164388191