What is the Least Common Multiple of 8114 and 8128?

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 8114 and 8128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8114 and 8128, than apply into the LCM equation.

GCF(8114,8128) = 2
LCM(8114,8128) = ( 8114 × 8128) / 2
LCM(8114,8128) = 65950592 / 2
LCM(8114,8128) = 32975296

Least Common Multiple (LCM) of 8114 and 8128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8114 and 8128. First we will calculate the prime factors of 8114 and 8128.

Prime Factorization of 8114

Prime Factorization of 8128

Now multiplying the highest exponent prime factors to calculate the LCM of 8114 and 8128.

LCM(8114,8128) = 2⁶ × 4057¹ × 127¹
LCM(8114,8128) = 32975296