What is the Least Common Multiple of 8175 and 8192?

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 8175 and 8192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8175 and 8192, than apply into the LCM equation.

GCF(8175,8192) = 1
LCM(8175,8192) = ( 8175 × 8192) / 1
LCM(8175,8192) = 66969600 / 1
LCM(8175,8192) = 66969600

Least Common Multiple (LCM) of 8175 and 8192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8175 and 8192. First we will calculate the prime factors of 8175 and 8192.

Prime Factorization of 8175

Prime Factorization of 8192

Now multiplying the highest exponent prime factors to calculate the LCM of 8175 and 8192.

LCM(8175,8192) = 3¹ × 5² × 109¹ × 2¹³
LCM(8175,8192) = 66969600