Least Common Multiple of 4319 and 4327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4319 and 4327 the smallest integer that is 18688313 that is divisible by both numbers.

Least Common Multiple (LCM) of 4319 and 4327 is 18688313.

LCM(4319,4327) = 18688313

LCM of 4319 and 4327

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4319 and 4327

LCM of 4319 and 4327 is 18688313

Least common multiple can be found by multiplying the highest exponent prime factors of 4319 and 4327. First we will calculate the prime factors of 4319 and 4327.

Prime Factorization of 4319


7 4319
617 617
1

Prime factors of 4319 are 7,617. Prime factorization of 4319 in exponential form is:

4319 = 71×6171

Prime Factorization of 4327


4327 4327
1

Prime factors of 4327 are 4327. Prime factorization of 4327 in exponential form is:

4327 = 43271

Now multiplying the highest exponent prime factors to calculate the LCM of 4319 and 4327.

LCM(4319,4327) = 71×6171×43271
LCM(4319,4327) = 18688313

Factors of 4319

List of positive integer factors of 4319 that divides 4319 without a remainder.

1, 7, 617, 4319

Factors of 4327

List of positive integer factors of 4327 that divides 4327 without a remainder.

1, 4327

Least Common Multiple of 4319 and 4327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4319 and 4327, than apply into the LCM equation.

GCF(4319,4327) = 1
LCM(4319,4327) = ( 4319 × 4327) / 1
LCM(4319,4327) = 18688313 / 1
LCM(4319,4327) = 18688313

Properties of LCM 4319 and 4327

(i) The LCM of 4327 and 4319 is associative

LCM of 4319 and 4327 = LCM of 4327 and 4319

Related Least Common Multiples of 4319

Related Least Common Multiples of 4327

Frequently Asked Questions on LCM of 4319 and 4327

1. What is the LCM of 4319 and 4327?

Answer: LCM of 4319 and 4327 is 18688313.

2. What are the Factors of 4319?

Answer: Factors of 4319 are 1, 7, 617, 4319. There are 4 integers that are factors of 4319. The greatest factor of 4319 is 4319.

3. What are the Factors of 4327?

Answer: Factors of 4327 are 1, 4327. There are 2 integers that are factors of 4327. The greatest factor of 4327 is 4327.

4. How to Find the LCM of 4319 and 4327?

Answer:

Least Common Multiple of 4319 and 4327 = 18688313

Step 1: Find the prime factorization of 4319

4319 = 7 x 617

Step 2: Find the prime factorization of 4327

4327 = 4327

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18688313 = 7 x 617 x 4327

Step 4: Therefore, the least common multiple of 4319 and 4327 is 18688313.