What is the Least Common Multiple of 39296 and 39303?

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 39303 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 39303, than apply into the LCM equation.

GCF(39296,39303) = 1
LCM(39296,39303) = ( 39296 × 39303) / 1
LCM(39296,39303) = 1544450688 / 1
LCM(39296,39303) = 1544450688

Least Common Multiple (LCM) of 39296 and 39303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39296 and 39303. First we will calculate the prime factors of 39296 and 39303.

Prime Factorization of 39296

Prime Factorization of 39303

Now multiplying the highest exponent prime factors to calculate the LCM of 39296 and 39303.

LCM(39296,39303) = 2⁷ × 307¹ × 3² × 11¹ × 397¹
LCM(39296,39303) = 1544450688