What is the Least Common Multiple of 81264 and 81275?

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 81264 and 81275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81264 and 81275, than apply into the LCM equation.

GCF(81264,81275) = 1
LCM(81264,81275) = ( 81264 × 81275) / 1
LCM(81264,81275) = 6604731600 / 1
LCM(81264,81275) = 6604731600

Least Common Multiple (LCM) of 81264 and 81275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81264 and 81275. First we will calculate the prime factors of 81264 and 81275.

Prime Factorization of 81264

Prime Factorization of 81275

Now multiplying the highest exponent prime factors to calculate the LCM of 81264 and 81275.

LCM(81264,81275) = 2⁴ × 3¹ × 1693¹ × 5² × 3251¹
LCM(81264,81275) = 6604731600