What is the Least Common Multiple of 82084 and 82096?

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 82084 and 82096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82084 and 82096, than apply into the LCM equation.

GCF(82084,82096) = 4
LCM(82084,82096) = ( 82084 × 82096) / 4
LCM(82084,82096) = 6738768064 / 4
LCM(82084,82096) = 1684692016

Least Common Multiple (LCM) of 82084 and 82096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82084 and 82096. First we will calculate the prime factors of 82084 and 82096.

Prime Factorization of 82084

Prime Factorization of 82096

Now multiplying the highest exponent prime factors to calculate the LCM of 82084 and 82096.

LCM(82084,82096) = 2⁴ × 20521¹ × 7¹ × 733¹
LCM(82084,82096) = 1684692016