What is the Least Common Multiple of 39278 and 39296?

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 39278 and 39296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39278 and 39296, than apply into the LCM equation.

GCF(39278,39296) = 2
LCM(39278,39296) = ( 39278 × 39296) / 2
LCM(39278,39296) = 1543468288 / 2
LCM(39278,39296) = 771734144

Least Common Multiple (LCM) of 39278 and 39296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39278 and 39296. First we will calculate the prime factors of 39278 and 39296.

Prime Factorization of 39278

Prime Factorization of 39296

Now multiplying the highest exponent prime factors to calculate the LCM of 39278 and 39296.

LCM(39278,39296) = 2⁷ × 41¹ × 479¹ × 307¹
LCM(39278,39296) = 771734144