What is the Least Common Multiple of 66384 and 66401?

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 66384 and 66401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66384 and 66401, than apply into the LCM equation.

GCF(66384,66401) = 1
LCM(66384,66401) = ( 66384 × 66401) / 1
LCM(66384,66401) = 4407963984 / 1
LCM(66384,66401) = 4407963984

Least Common Multiple (LCM) of 66384 and 66401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66384 and 66401. First we will calculate the prime factors of 66384 and 66401.

Prime Factorization of 66384

Prime Factorization of 66401

Now multiplying the highest exponent prime factors to calculate the LCM of 66384 and 66401.

LCM(66384,66401) = 2⁴ × 3² × 461¹ × 23¹ × 2887¹
LCM(66384,66401) = 4407963984