Least Common Multiple of 6313 and 6319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6313 and 6319 the smallest integer that is 39891847 that is divisible by both numbers.

Least Common Multiple (LCM) of 6313 and 6319 is 39891847.

LCM(6313,6319) = 39891847

LCM of 6313 and 6319

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

LCM of:
and

Least Common Multiple of 6313 and 6319

LCM of 6313 and 6319 is 39891847

Least common multiple can be found by multiplying the highest exponent prime factors of 6313 and 6319. First we will calculate the prime factors of 6313 and 6319.

Prime Factorization of 6313


59 6313
107 107
1

Prime factors of 6313 are 59,107. Prime factorization of 6313 in exponential form is:

6313 = 591×1071

Prime Factorization of 6319


71 6319
89 89
1

Prime factors of 6319 are 71,89. Prime factorization of 6319 in exponential form is:

6319 = 711×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6313 and 6319.

LCM(6313,6319) = 591×711×891×1071
LCM(6313,6319) = 39891847

Factors of 6313

List of positive integer factors of 6313 that divides 6313 without a remainder.

1, 59, 107, 6313

Factors of 6319

List of positive integer factors of 6319 that divides 6319 without a remainder.

1, 71, 89, 6319

Least Common Multiple of 6313 and 6319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6313 and 6319, than apply into the LCM equation.

GCF(6313,6319) = 1
LCM(6313,6319) = ( 6313 × 6319) / 1
LCM(6313,6319) = 39891847 / 1
LCM(6313,6319) = 39891847

Properties of LCM 6313 and 6319

(i) The LCM of 6319 and 6313 is associative

LCM of 6313 and 6319 = LCM of 6319 and 6313

Related Least Common Multiples of 6313

Related Least Common Multiples of 6319

Frequently Asked Questions on LCM of 6313 and 6319

1. What is the LCM of 6313 and 6319?

Answer: LCM of 6313 and 6319 is 39891847.

2. What are the Factors of 6313?

Answer: Factors of 6313 are 1, 59, 107, 6313. There are 4 integers that are factors of 6313. The greatest factor of 6313 is 6313.

3. What are the Factors of 6319?

Answer: Factors of 6319 are 1, 71, 89, 6319. There are 4 integers that are factors of 6319. The greatest factor of 6319 is 6319.

4. How to Find the LCM of 6313 and 6319?

Answer:

Least Common Multiple of 6313 and 6319 = 39891847

Step 1: Find the prime factorization of 6313

6313 = 59 x 107

Step 2: Find the prime factorization of 6319

6319 = 71 x 89

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

LCM = 39891847 = 59 x 71 x 89 x 107

Step 4: Therefore, the least common multiple of 6313 and 6319 is 39891847.