What is the Least Common Multiple of 67728 and 67742?

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 67728 and 67742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67728 and 67742, than apply into the LCM equation.

GCF(67728,67742) = 2
LCM(67728,67742) = ( 67728 × 67742) / 2
LCM(67728,67742) = 4588030176 / 2
LCM(67728,67742) = 2294015088

Least Common Multiple (LCM) of 67728 and 67742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67728 and 67742. First we will calculate the prime factors of 67728 and 67742.

Prime Factorization of 67728

Prime Factorization of 67742

Now multiplying the highest exponent prime factors to calculate the LCM of 67728 and 67742.

LCM(67728,67742) = 2⁴ × 3¹ × 17¹ × 83¹ × 33871¹
LCM(67728,67742) = 2294015088