What is the Least Common Multiple of 19902 and 19917?

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 19902 and 19917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19902 and 19917, than apply into the LCM equation.

GCF(19902,19917) = 3
LCM(19902,19917) = ( 19902 × 19917) / 3
LCM(19902,19917) = 396388134 / 3
LCM(19902,19917) = 132129378

Least Common Multiple (LCM) of 19902 and 19917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19902 and 19917. First we will calculate the prime factors of 19902 and 19917.

Prime Factorization of 19902

Prime Factorization of 19917

Now multiplying the highest exponent prime factors to calculate the LCM of 19902 and 19917.

LCM(19902,19917) = 2¹ × 3² × 31¹ × 107¹ × 2213¹
LCM(19902,19917) = 132129378