What is the Least Common Multiple of 66809 and 66824?

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 66809 and 66824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66809 and 66824, than apply into the LCM equation.

GCF(66809,66824) = 1
LCM(66809,66824) = ( 66809 × 66824) / 1
LCM(66809,66824) = 4464444616 / 1
LCM(66809,66824) = 4464444616

Least Common Multiple (LCM) of 66809 and 66824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66809 and 66824. First we will calculate the prime factors of 66809 and 66824.

Prime Factorization of 66809

Prime Factorization of 66824

Now multiplying the highest exponent prime factors to calculate the LCM of 66809 and 66824.

LCM(66809,66824) = 66809¹ × 2³ × 8353¹
LCM(66809,66824) = 4464444616