What is the Least Common Multiple of 19996 and 20004?

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 19996 and 20004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19996 and 20004, than apply into the LCM equation.

GCF(19996,20004) = 4
LCM(19996,20004) = ( 19996 × 20004) / 4
LCM(19996,20004) = 399999984 / 4
LCM(19996,20004) = 99999996

Least Common Multiple (LCM) of 19996 and 20004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19996 and 20004. First we will calculate the prime factors of 19996 and 20004.

Prime Factorization of 19996

Prime Factorization of 20004

Now multiplying the highest exponent prime factors to calculate the LCM of 19996 and 20004.

LCM(19996,20004) = 2² × 4999¹ × 3¹ × 1667¹
LCM(19996,20004) = 99999996