What is the Least Common Multiple of 38313 and 38327?

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 38313 and 38327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38313 and 38327, than apply into the LCM equation.

GCF(38313,38327) = 1
LCM(38313,38327) = ( 38313 × 38327) / 1
LCM(38313,38327) = 1468422351 / 1
LCM(38313,38327) = 1468422351

Least Common Multiple (LCM) of 38313 and 38327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38313 and 38327. First we will calculate the prime factors of 38313 and 38327.

Prime Factorization of 38313

Prime Factorization of 38327

Now multiplying the highest exponent prime factors to calculate the LCM of 38313 and 38327.

LCM(38313,38327) = 3⁴ × 11¹ × 43¹ × 38327¹
LCM(38313,38327) = 1468422351