What is the Least Common Multiple of 19968 and 19986?

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 19968 and 19986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19968 and 19986, than apply into the LCM equation.

GCF(19968,19986) = 6
LCM(19968,19986) = ( 19968 × 19986) / 6
LCM(19968,19986) = 399080448 / 6
LCM(19968,19986) = 66513408

Least Common Multiple (LCM) of 19968 and 19986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19968 and 19986. First we will calculate the prime factors of 19968 and 19986.

Prime Factorization of 19968

Prime Factorization of 19986

Now multiplying the highest exponent prime factors to calculate the LCM of 19968 and 19986.

LCM(19968,19986) = 2⁹ × 3¹ × 13¹ × 3331¹
LCM(19968,19986) = 66513408