What is the Least Common Multiple of 8144 and 8149?

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 8144 and 8149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8144 and 8149, than apply into the LCM equation.

GCF(8144,8149) = 1
LCM(8144,8149) = ( 8144 × 8149) / 1
LCM(8144,8149) = 66365456 / 1
LCM(8144,8149) = 66365456

Least Common Multiple (LCM) of 8144 and 8149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8144 and 8149. First we will calculate the prime factors of 8144 and 8149.

Prime Factorization of 8144

Prime Factorization of 8149

Now multiplying the highest exponent prime factors to calculate the LCM of 8144 and 8149.

LCM(8144,8149) = 2⁴ × 509¹ × 29¹ × 281¹
LCM(8144,8149) = 66365456