What is the Least Common Multiple of 82485 and 82496?

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 82485 and 82496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82485 and 82496, than apply into the LCM equation.

GCF(82485,82496) = 1
LCM(82485,82496) = ( 82485 × 82496) / 1
LCM(82485,82496) = 6804682560 / 1
LCM(82485,82496) = 6804682560

Least Common Multiple (LCM) of 82485 and 82496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82485 and 82496. First we will calculate the prime factors of 82485 and 82496.

Prime Factorization of 82485

Prime Factorization of 82496

Now multiplying the highest exponent prime factors to calculate the LCM of 82485 and 82496.

LCM(82485,82496) = 3³ × 5¹ × 13¹ × 47¹ × 2⁶ × 1289¹
LCM(82485,82496) = 6804682560