What is the Least Common Multiple of 71998 and 72004?

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 71998 and 72004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71998 and 72004, than apply into the LCM equation.

GCF(71998,72004) = 2
LCM(71998,72004) = ( 71998 × 72004) / 2
LCM(71998,72004) = 5184143992 / 2
LCM(71998,72004) = 2592071996

Least Common Multiple (LCM) of 71998 and 72004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71998 and 72004. First we will calculate the prime factors of 71998 and 72004.

Prime Factorization of 71998

Prime Factorization of 72004

Now multiplying the highest exponent prime factors to calculate the LCM of 71998 and 72004.

LCM(71998,72004) = 2² × 35999¹ × 47¹ × 383¹
LCM(71998,72004) = 2592071996