What is the Least Common Multiple of 82128 and 82134?

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 82134 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 82134, than apply into the LCM equation.

GCF(82128,82134) = 6
LCM(82128,82134) = ( 82128 × 82134) / 6
LCM(82128,82134) = 6745501152 / 6
LCM(82128,82134) = 1124250192

Least Common Multiple (LCM) of 82128 and 82134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82128 and 82134. First we will calculate the prime factors of 82128 and 82134.

Prime Factorization of 82128

Prime Factorization of 82134

Now multiplying the highest exponent prime factors to calculate the LCM of 82128 and 82134.

LCM(82128,82134) = 2⁴ × 3⁵ × 29¹ × 59¹ × 13²
LCM(82128,82134) = 1124250192