What is the Least Common Multiple of 82128 and 82139?

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 82128 and 82139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82128 and 82139, than apply into the LCM equation.

GCF(82128,82139) = 1
LCM(82128,82139) = ( 82128 × 82139) / 1
LCM(82128,82139) = 6745911792 / 1
LCM(82128,82139) = 6745911792

Least Common Multiple (LCM) of 82128 and 82139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82128 and 82139. First we will calculate the prime factors of 82128 and 82139.

Prime Factorization of 82128

Prime Factorization of 82139

Now multiplying the highest exponent prime factors to calculate the LCM of 82128 and 82139.

LCM(82128,82139) = 2⁴ × 3¹ × 29¹ × 59¹ × 82139¹
LCM(82128,82139) = 6745911792