What is the Least Common Multiple of 8178 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 8178 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 8178 and 8192, than apply into the LCM equation.

GCF(8178,8192) = 2
LCM(8178,8192) = ( 8178 × 8192) / 2
LCM(8178,8192) = 66994176 / 2
LCM(8178,8192) = 33497088

Least Common Multiple (LCM) of 8178 and 8192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8178 and 8192. First we will calculate the prime factors of 8178 and 8192.

Prime Factorization of 8178

Prime Factorization of 8192

Now multiplying the highest exponent prime factors to calculate the LCM of 8178 and 8192.

LCM(8178,8192) = 2¹³ × 3¹ × 29¹ × 47¹
LCM(8178,8192) = 33497088