What is the Least Common Multiple of 21993 and 22004?

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 21993 and 22004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21993 and 22004, than apply into the LCM equation.

GCF(21993,22004) = 1
LCM(21993,22004) = ( 21993 × 22004) / 1
LCM(21993,22004) = 483933972 / 1
LCM(21993,22004) = 483933972

Least Common Multiple (LCM) of 21993 and 22004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21993 and 22004. First we will calculate the prime factors of 21993 and 22004.

Prime Factorization of 21993

Prime Factorization of 22004

Now multiplying the highest exponent prime factors to calculate the LCM of 21993 and 22004.

LCM(21993,22004) = 3¹ × 7331¹ × 2² × 5501¹
LCM(21993,22004) = 483933972