What is the Least Common Multiple of 68768 and 68774?

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 68768 and 68774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68768 and 68774, than apply into the LCM equation.

GCF(68768,68774) = 2
LCM(68768,68774) = ( 68768 × 68774) / 2
LCM(68768,68774) = 4729450432 / 2
LCM(68768,68774) = 2364725216

Least Common Multiple (LCM) of 68768 and 68774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68768 and 68774. First we will calculate the prime factors of 68768 and 68774.

Prime Factorization of 68768

Prime Factorization of 68774

Now multiplying the highest exponent prime factors to calculate the LCM of 68768 and 68774.

LCM(68768,68774) = 2⁵ × 7¹ × 307¹ × 137¹ × 251¹
LCM(68768,68774) = 2364725216