What is the Least Common Multiple of 10993 and 11004?

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 10993 and 11004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10993 and 11004, than apply into the LCM equation.

GCF(10993,11004) = 1
LCM(10993,11004) = ( 10993 × 11004) / 1
LCM(10993,11004) = 120966972 / 1
LCM(10993,11004) = 120966972

Least Common Multiple (LCM) of 10993 and 11004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10993 and 11004. First we will calculate the prime factors of 10993 and 11004.

Prime Factorization of 10993

Prime Factorization of 11004

Now multiplying the highest exponent prime factors to calculate the LCM of 10993 and 11004.

LCM(10993,11004) = 10993¹ × 2² × 3¹ × 7¹ × 131¹
LCM(10993,11004) = 120966972