What is the Least Common Multiple of 38308 and 38326?

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 38308 and 38326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38308 and 38326, than apply into the LCM equation.

GCF(38308,38326) = 2
LCM(38308,38326) = ( 38308 × 38326) / 2
LCM(38308,38326) = 1468192408 / 2
LCM(38308,38326) = 734096204

Least Common Multiple (LCM) of 38308 and 38326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38308 and 38326. First we will calculate the prime factors of 38308 and 38326.

Prime Factorization of 38308

Prime Factorization of 38326

Now multiplying the highest exponent prime factors to calculate the LCM of 38308 and 38326.

LCM(38308,38326) = 2² × 61¹ × 157¹ × 19163¹
LCM(38308,38326) = 734096204