What is the Least Common Multiple of 19934 and 19954?

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 19934 and 19954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19934 and 19954, than apply into the LCM equation.

GCF(19934,19954) = 2
LCM(19934,19954) = ( 19934 × 19954) / 2
LCM(19934,19954) = 397763036 / 2
LCM(19934,19954) = 198881518

Least Common Multiple (LCM) of 19934 and 19954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19934 and 19954. First we will calculate the prime factors of 19934 and 19954.

Prime Factorization of 19934

Prime Factorization of 19954

Now multiplying the highest exponent prime factors to calculate the LCM of 19934 and 19954.

LCM(19934,19954) = 2¹ × 9967¹ × 11¹ × 907¹
LCM(19934,19954) = 198881518