Least Common Multiple of 5312 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 5312 and 5319 the smallest integer that is 28254528 that is divisible by both numbers.

Least Common Multiple (LCM) of 5312 and 5319 is 28254528.

LCM(5312,5319) = 28254528

LCM of 5312 and 5319

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

LCM of:
and

Least Common Multiple of 5312 and 5319

LCM of 5312 and 5319 is 28254528

Least common multiple can be found by multiplying the highest exponent prime factors of 5312 and 5319. First we will calculate the prime factors of 5312 and 5319.

Prime Factorization of 5312


2 5312
2 2656
2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 5312 are 2,83. Prime factorization of 5312 in exponential form is:

5312 = 26×831

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 5312 and 5319.

LCM(5312,5319) = 26×33×831×1971
LCM(5312,5319) = 28254528

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312

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 5312 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 5312 and 5319, than apply into the LCM equation.

GCF(5312,5319) = 1
LCM(5312,5319) = ( 5312 × 5319) / 1
LCM(5312,5319) = 28254528 / 1
LCM(5312,5319) = 28254528

Properties of LCM 5312 and 5319

(i) The LCM of 5319 and 5312 is associative

LCM of 5312 and 5319 = LCM of 5319 and 5312

Related Least Common Multiples of 5312

Related Least Common Multiples of 5319

Frequently Asked Questions on LCM of 5312 and 5319

1. What is the LCM of 5312 and 5319?

Answer: LCM of 5312 and 5319 is 28254528.

2. What are the Factors of 5312?

Answer: Factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312. There are 14 integers that are factors of 5312. The greatest factor of 5312 is 5312.

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 5312 and 5319?

Answer:

Least Common Multiple of 5312 and 5319 = 28254528

Step 1: Find the prime factorization of 5312

5312 = 2 x 2 x 2 x 2 x 2 x 2 x 83

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 = 28254528 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 83 x 197

Step 4: Therefore, the least common multiple of 5312 and 5319 is 28254528.