What is the Least Common Multiple of 64768 and 64774?

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 64768 and 64774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64768 and 64774, than apply into the LCM equation.

GCF(64768,64774) = 2
LCM(64768,64774) = ( 64768 × 64774) / 2
LCM(64768,64774) = 4195282432 / 2
LCM(64768,64774) = 2097641216

Least Common Multiple (LCM) of 64768 and 64774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64768 and 64774. First we will calculate the prime factors of 64768 and 64774.

Prime Factorization of 64768

Prime Factorization of 64774

Now multiplying the highest exponent prime factors to calculate the LCM of 64768 and 64774.

LCM(64768,64774) = 2⁸ × 11¹ × 23¹ × 139¹ × 233¹
LCM(64768,64774) = 2097641216