What is the Least Common Multiple of 67809 and 67824?

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 67809 and 67824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67809 and 67824, than apply into the LCM equation.

GCF(67809,67824) = 3
LCM(67809,67824) = ( 67809 × 67824) / 3
LCM(67809,67824) = 4599077616 / 3
LCM(67809,67824) = 1533025872

Least Common Multiple (LCM) of 67809 and 67824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67809 and 67824. First we will calculate the prime factors of 67809 and 67824.

Prime Factorization of 67809

Prime Factorization of 67824

Now multiplying the highest exponent prime factors to calculate the LCM of 67809 and 67824.

LCM(67809,67824) = 3³ × 7¹ × 3229¹ × 2⁴ × 157¹
LCM(67809,67824) = 1533025872