What is the Least Common Multiple of 5993 and 6013?

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 5993 and 6013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5993 and 6013, than apply into the LCM equation.

GCF(5993,6013) = 1
LCM(5993,6013) = ( 5993 × 6013) / 1
LCM(5993,6013) = 36035909 / 1
LCM(5993,6013) = 36035909

Least Common Multiple (LCM) of 5993 and 6013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5993 and 6013. First we will calculate the prime factors of 5993 and 6013.

Prime Factorization of 5993

Prime Factorization of 6013

Now multiplying the highest exponent prime factors to calculate the LCM of 5993 and 6013.

LCM(5993,6013) = 13¹ × 461¹ × 7¹ × 859¹
LCM(5993,6013) = 36035909