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What is the Least Common Multiple of 8310 and 8319?

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 (LCM) of 8310 and 8319 is 23043630.

LCM(8310,8319) = 23043630

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Least Common Multiple of 8310 and 8319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8310 and 8319, than apply into the LCM equation.

GCF(8310,8319) = 3
LCM(8310,8319) = ( 8310 × 8319) / 3
LCM(8310,8319) = 69130890 / 3
LCM(8310,8319) = 23043630

Least Common Multiple (LCM) of 8310 and 8319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8310 and 8319. First we will calculate the prime factors of 8310 and 8319.

Prime Factorization of 8310

Prime factors of 8310 are 2, 3, 5, 277. Prime factorization of 8310 in exponential form is:

8310 = 21 × 31 × 51 × 2771

Prime Factorization of 8319

Prime factors of 8319 are 3, 47, 59. Prime factorization of 8319 in exponential form is:

8319 = 31 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8310 and 8319.

LCM(8310,8319) = 21 × 31 × 51 × 2771 × 471 × 591
LCM(8310,8319) = 23043630