What is the Least Common Multiple of 82496 and 82503?

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 82496 and 82503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82496 and 82503, than apply into the LCM equation.

GCF(82496,82503) = 1
LCM(82496,82503) = ( 82496 × 82503) / 1
LCM(82496,82503) = 6806167488 / 1
LCM(82496,82503) = 6806167488

Least Common Multiple (LCM) of 82496 and 82503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82496 and 82503. First we will calculate the prime factors of 82496 and 82503.

Prime Factorization of 82496

Prime Factorization of 82503

Now multiplying the highest exponent prime factors to calculate the LCM of 82496 and 82503.

LCM(82496,82503) = 2⁶ × 1289¹ × 3² × 89¹ × 103¹
LCM(82496,82503) = 6806167488