What is the Least Common Multiple of 82109 and 82128?

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 82109 and 82128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82109 and 82128, than apply into the LCM equation.

GCF(82109,82128) = 1
LCM(82109,82128) = ( 82109 × 82128) / 1
LCM(82109,82128) = 6743447952 / 1
LCM(82109,82128) = 6743447952

Least Common Multiple (LCM) of 82109 and 82128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82109 and 82128. First we will calculate the prime factors of 82109 and 82128.

Prime Factorization of 82109

Prime Factorization of 82128

Now multiplying the highest exponent prime factors to calculate the LCM of 82109 and 82128.

LCM(82109,82128) = 47¹ × 1747¹ × 2⁴ × 3¹ × 29¹ × 59¹
LCM(82109,82128) = 6743447952