Least Common Multiple of 4313 and 4319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4313 and 4319 the smallest integer that is 18627847 that is divisible by both numbers.

Least Common Multiple (LCM) of 4313 and 4319 is 18627847.

LCM(4313,4319) = 18627847

LCM of 4313 and 4319

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

LCM of:
and

Least Common Multiple of 4313 and 4319

LCM of 4313 and 4319 is 18627847

Least common multiple can be found by multiplying the highest exponent prime factors of 4313 and 4319. First we will calculate the prime factors of 4313 and 4319.

Prime Factorization of 4313


19 4313
227 227
1

Prime factors of 4313 are 19,227. Prime factorization of 4313 in exponential form is:

4313 = 191×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4313 and 4319.

LCM(4313,4319) = 71×191×2271×6171
LCM(4313,4319) = 18627847

Factors of 4313

List of positive integer factors of 4313 that divides 4313 without a remainder.

1, 19, 227, 4313

Factors of 4319

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

1, 7, 617, 4319

Least Common Multiple of 4313 and 4319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4313 and 4319, than apply into the LCM equation.

GCF(4313,4319) = 1
LCM(4313,4319) = ( 4313 × 4319) / 1
LCM(4313,4319) = 18627847 / 1
LCM(4313,4319) = 18627847

Properties of LCM 4313 and 4319

(i) The LCM of 4319 and 4313 is associative

LCM of 4313 and 4319 = LCM of 4319 and 4313

Related Least Common Multiples of 4313

Related Least Common Multiples of 4319

Frequently Asked Questions on LCM of 4313 and 4319

1. What is the LCM of 4313 and 4319?

Answer: LCM of 4313 and 4319 is 18627847.

2. What are the Factors of 4313?

Answer: Factors of 4313 are 1, 19, 227, 4313. There are 4 integers that are factors of 4313. The greatest factor of 4313 is 4313.

3. 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.

4. How to Find the LCM of 4313 and 4319?

Answer:

Least Common Multiple of 4313 and 4319 = 18627847

Step 1: Find the prime factorization of 4313

4313 = 19 x 227

Step 2: Find the prime factorization of 4319

4319 = 7 x 617

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

LCM = 18627847 = 7 x 19 x 227 x 617

Step 4: Therefore, the least common multiple of 4313 and 4319 is 18627847.