Least Common Multiple of 5315 and 5319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5315 and 5319 the smallest integer that is 28270485 that is divisible by both numbers.

Least Common Multiple (LCM) of 5315 and 5319 is 28270485.

LCM(5315,5319) = 28270485

LCM of 5315 and 5319

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

LCM of:
and

Least Common Multiple of 5315 and 5319

LCM of 5315 and 5319 is 28270485

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5319. First we will calculate the prime factors of 5315 and 5319.

Prime Factorization of 5315


5 5315
1063 1063
1

Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:

5315 = 51×10631

Prime Factorization of 5319


3 5319
3 1773
3 591
197 197
1

Prime factors of 5319 are 3,197. Prime factorization of 5319 in exponential form is:

5319 = 33×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5315 and 5319.

LCM(5315,5319) = 33×51×1971×10631
LCM(5315,5319) = 28270485

Factors of 5315

List of positive integer factors of 5315 that divides 5315 without a remainder.

1, 5, 1063, 5315

Factors of 5319

List of positive integer factors of 5319 that divides 5319 without a remainder.

1, 3, 9, 27, 197, 591, 1773, 5319

Least Common Multiple of 5315 and 5319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5315 and 5319, than apply into the LCM equation.

GCF(5315,5319) = 1
LCM(5315,5319) = ( 5315 × 5319) / 1
LCM(5315,5319) = 28270485 / 1
LCM(5315,5319) = 28270485

Properties of LCM 5315 and 5319

(i) The LCM of 5319 and 5315 is associative

LCM of 5315 and 5319 = LCM of 5319 and 5315

Related Least Common Multiples of 5315

Related Least Common Multiples of 5319

Frequently Asked Questions on LCM of 5315 and 5319

1. What is the LCM of 5315 and 5319?

Answer: LCM of 5315 and 5319 is 28270485.

2. What are the Factors of 5315?

Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.

3. What are the Factors of 5319?

Answer: Factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319. There are 8 integers that are factors of 5319. The greatest factor of 5319 is 5319.

4. How to Find the LCM of 5315 and 5319?

Answer:

Least Common Multiple of 5315 and 5319 = 28270485

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

Step 2: Find the prime factorization of 5319

5319 = 3 x 3 x 3 x 197

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

LCM = 28270485 = 3 x 3 x 3 x 5 x 197 x 1063

Step 4: Therefore, the least common multiple of 5315 and 5319 is 28270485.