What is the Least Common Multiple of 19998 and 20002?

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 19998 and 20002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19998 and 20002, than apply into the LCM equation.

GCF(19998,20002) = 2
LCM(19998,20002) = ( 19998 × 20002) / 2
LCM(19998,20002) = 399999996 / 2
LCM(19998,20002) = 199999998

Least Common Multiple (LCM) of 19998 and 20002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19998 and 20002. First we will calculate the prime factors of 19998 and 20002.

Prime Factorization of 19998

Prime Factorization of 20002

Now multiplying the highest exponent prime factors to calculate the LCM of 19998 and 20002.

LCM(19998,20002) = 2¹ × 3² × 11¹ × 101¹ × 73¹ × 137¹
LCM(19998,20002) = 199999998