What is the Least Common Multiple of 19953 and 19968?

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 19953 and 19968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19953 and 19968, than apply into the LCM equation.

GCF(19953,19968) = 3
LCM(19953,19968) = ( 19953 × 19968) / 3
LCM(19953,19968) = 398421504 / 3
LCM(19953,19968) = 132807168

Least Common Multiple (LCM) of 19953 and 19968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19953 and 19968. First we will calculate the prime factors of 19953 and 19968.

Prime Factorization of 19953

Prime Factorization of 19968

Now multiplying the highest exponent prime factors to calculate the LCM of 19953 and 19968.

LCM(19953,19968) = 3³ × 739¹ × 2⁹ × 13¹
LCM(19953,19968) = 132807168