What is the Least Common Multiple of 39296 and 39301?

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 39296 and 39301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39296 and 39301, than apply into the LCM equation.

GCF(39296,39301) = 1
LCM(39296,39301) = ( 39296 × 39301) / 1
LCM(39296,39301) = 1544372096 / 1
LCM(39296,39301) = 1544372096

Least Common Multiple (LCM) of 39296 and 39301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39296 and 39301. First we will calculate the prime factors of 39296 and 39301.

Prime Factorization of 39296

Prime Factorization of 39301

Now multiplying the highest exponent prime factors to calculate the LCM of 39296 and 39301.

LCM(39296,39301) = 2⁷ × 307¹ × 39301¹
LCM(39296,39301) = 1544372096