What is the Least Common Multiple of 19902 and 19922?

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 19922 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 19922, than apply into the LCM equation.

GCF(19902,19922) = 2
LCM(19902,19922) = ( 19902 × 19922) / 2
LCM(19902,19922) = 396487644 / 2
LCM(19902,19922) = 198243822

Least Common Multiple (LCM) of 19902 and 19922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19902 and 19922. First we will calculate the prime factors of 19902 and 19922.

Prime Factorization of 19902

Prime Factorization of 19922

Now multiplying the highest exponent prime factors to calculate the LCM of 19902 and 19922.

LCM(19902,19922) = 2¹ × 3¹ × 31¹ × 107¹ × 7¹ × 1423¹
LCM(19902,19922) = 198243822