What is the Least Common Multiple of 64096 and 64114?

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 64096 and 64114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64096 and 64114, than apply into the LCM equation.

GCF(64096,64114) = 2
LCM(64096,64114) = ( 64096 × 64114) / 2
LCM(64096,64114) = 4109450944 / 2
LCM(64096,64114) = 2054725472

Least Common Multiple (LCM) of 64096 and 64114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64096 and 64114. First we will calculate the prime factors of 64096 and 64114.

Prime Factorization of 64096

Prime Factorization of 64114

Now multiplying the highest exponent prime factors to calculate the LCM of 64096 and 64114.

LCM(64096,64114) = 2⁵ × 2003¹ × 32057¹
LCM(64096,64114) = 2054725472