What is the Least Common Multiple of 59083 and 59099?

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 59083 and 59099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59083 and 59099, than apply into the LCM equation.

GCF(59083,59099) = 1
LCM(59083,59099) = ( 59083 × 59099) / 1
LCM(59083,59099) = 3491746217 / 1
LCM(59083,59099) = 3491746217

Least Common Multiple (LCM) of 59083 and 59099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59083 and 59099. First we will calculate the prime factors of 59083 and 59099.

Prime Factorization of 59083

Prime Factorization of 59099

Now multiplying the highest exponent prime factors to calculate the LCM of 59083 and 59099.

LCM(59083,59099) = 59083¹ × 113¹ × 523¹
LCM(59083,59099) = 3491746217