What is the Least Common Multiple of 38310 and 38319?

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 38310 and 38319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38310 and 38319, than apply into the LCM equation.

GCF(38310,38319) = 3
LCM(38310,38319) = ( 38310 × 38319) / 3
LCM(38310,38319) = 1468000890 / 3
LCM(38310,38319) = 489333630

Least Common Multiple (LCM) of 38310 and 38319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38310 and 38319. First we will calculate the prime factors of 38310 and 38319.

Prime Factorization of 38310

Prime Factorization of 38319

Now multiplying the highest exponent prime factors to calculate the LCM of 38310 and 38319.

LCM(38310,38319) = 2¹ × 3¹ × 5¹ × 1277¹ × 53¹ × 241¹
LCM(38310,38319) = 489333630