What is the Least Common Multiple of 59084 and 59093?

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 59084 and 59093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59084 and 59093, than apply into the LCM equation.

GCF(59084,59093) = 1
LCM(59084,59093) = ( 59084 × 59093) / 1
LCM(59084,59093) = 3491450812 / 1
LCM(59084,59093) = 3491450812

Least Common Multiple (LCM) of 59084 and 59093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59084 and 59093. First we will calculate the prime factors of 59084 and 59093.

Prime Factorization of 59084

Prime Factorization of 59093

Now multiplying the highest exponent prime factors to calculate the LCM of 59084 and 59093.

LCM(59084,59093) = 2² × 14771¹ × 59093¹
LCM(59084,59093) = 3491450812