What is the Least Common Multiple of 19996 and 20010?

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 20010 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 20010, than apply into the LCM equation.

GCF(19996,20010) = 2
LCM(19996,20010) = ( 19996 × 20010) / 2
LCM(19996,20010) = 400119960 / 2
LCM(19996,20010) = 200059980

Least Common Multiple (LCM) of 19996 and 20010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19996 and 20010. First we will calculate the prime factors of 19996 and 20010.

Prime Factorization of 19996

Prime Factorization of 20010

Now multiplying the highest exponent prime factors to calculate the LCM of 19996 and 20010.

LCM(19996,20010) = 2² × 4999¹ × 3¹ × 5¹ × 23¹ × 29¹
LCM(19996,20010) = 200059980