What is the Least Common Multiple of 93296 and 93308?

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 93296 and 93308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93296 and 93308, than apply into the LCM equation.

GCF(93296,93308) = 4
LCM(93296,93308) = ( 93296 × 93308) / 4
LCM(93296,93308) = 8705263168 / 4
LCM(93296,93308) = 2176315792

Least Common Multiple (LCM) of 93296 and 93308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93296 and 93308. First we will calculate the prime factors of 93296 and 93308.

Prime Factorization of 93296

Prime Factorization of 93308

Now multiplying the highest exponent prime factors to calculate the LCM of 93296 and 93308.

LCM(93296,93308) = 2⁴ × 7³ × 17¹ × 23327¹
LCM(93296,93308) = 2176315792