What is the Least Common Multiple of 8128 and 8141?

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 8128 and 8141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8128 and 8141, than apply into the LCM equation.

GCF(8128,8141) = 1
LCM(8128,8141) = ( 8128 × 8141) / 1
LCM(8128,8141) = 66170048 / 1
LCM(8128,8141) = 66170048

Least Common Multiple (LCM) of 8128 and 8141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8128 and 8141. First we will calculate the prime factors of 8128 and 8141.

Prime Factorization of 8128

Prime Factorization of 8141

Now multiplying the highest exponent prime factors to calculate the LCM of 8128 and 8141.

LCM(8128,8141) = 2⁶ × 127¹ × 7¹ × 1163¹
LCM(8128,8141) = 66170048