What is the Least Common Multiple of 80128 and 80141?

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 80128 and 80141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80128 and 80141, than apply into the LCM equation.

GCF(80128,80141) = 1
LCM(80128,80141) = ( 80128 × 80141) / 1
LCM(80128,80141) = 6421538048 / 1
LCM(80128,80141) = 6421538048

Least Common Multiple (LCM) of 80128 and 80141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80128 and 80141. First we will calculate the prime factors of 80128 and 80141.

Prime Factorization of 80128

Prime Factorization of 80141

Now multiplying the highest exponent prime factors to calculate the LCM of 80128 and 80141.

LCM(80128,80141) = 2⁸ × 313¹ × 80141¹
LCM(80128,80141) = 6421538048