What is the Least Common Multiple of 19993 and 20001?

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 19993 and 20001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19993 and 20001, than apply into the LCM equation.

GCF(19993,20001) = 1
LCM(19993,20001) = ( 19993 × 20001) / 1
LCM(19993,20001) = 399879993 / 1
LCM(19993,20001) = 399879993

Least Common Multiple (LCM) of 19993 and 20001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19993 and 20001. First we will calculate the prime factors of 19993 and 20001.

Prime Factorization of 19993

Prime Factorization of 20001

Now multiplying the highest exponent prime factors to calculate the LCM of 19993 and 20001.

LCM(19993,20001) = 19993¹ × 3¹ × 59¹ × 113¹
LCM(19993,20001) = 399879993