What is the Least Common Multiple of 38272 and 38284?

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 38272 and 38284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38272 and 38284, than apply into the LCM equation.

GCF(38272,38284) = 4
LCM(38272,38284) = ( 38272 × 38284) / 4
LCM(38272,38284) = 1465205248 / 4
LCM(38272,38284) = 366301312

Least Common Multiple (LCM) of 38272 and 38284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38272 and 38284. First we will calculate the prime factors of 38272 and 38284.

Prime Factorization of 38272

Prime Factorization of 38284

Now multiplying the highest exponent prime factors to calculate the LCM of 38272 and 38284.

LCM(38272,38284) = 2⁷ × 13¹ × 23¹ × 17¹ × 563¹
LCM(38272,38284) = 366301312