Least Common Multiple of 7316 and 7317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7316 and 7317 the smallest integer that is 53531172 that is divisible by both numbers.

Least Common Multiple (LCM) of 7316 and 7317 is 53531172.

LCM(7316,7317) = 53531172

LCM of 7316 and 7317

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

LCM of:
and

Least Common Multiple of 7316 and 7317

LCM of 7316 and 7317 is 53531172

Least common multiple can be found by multiplying the highest exponent prime factors of 7316 and 7317. First we will calculate the prime factors of 7316 and 7317.

Prime Factorization of 7316


2 7316
2 3658
31 1829
59 59
1

Prime factors of 7316 are 2, 31,59. Prime factorization of 7316 in exponential form is:

7316 = 22×311×591

Prime Factorization of 7317


3 7317
3 2439
3 813
271 271
1

Prime factors of 7317 are 3,271. Prime factorization of 7317 in exponential form is:

7317 = 33×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7316 and 7317.

LCM(7316,7317) = 22×33×311×591×2711
LCM(7316,7317) = 53531172

Factors of 7316

List of positive integer factors of 7316 that divides 7316 without a remainder.

1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1, 3, 9, 27, 271, 813, 2439, 7317

Least Common Multiple of 7316 and 7317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7316 and 7317, than apply into the LCM equation.

GCF(7316,7317) = 1
LCM(7316,7317) = ( 7316 × 7317) / 1
LCM(7316,7317) = 53531172 / 1
LCM(7316,7317) = 53531172

Properties of LCM 7316 and 7317

(i) The LCM of 7317 and 7316 is associative

LCM of 7316 and 7317 = LCM of 7317 and 7316

Related Least Common Multiples of 7316

Related Least Common Multiples of 7317

Frequently Asked Questions on LCM of 7316 and 7317

1. What is the LCM of 7316 and 7317?

Answer: LCM of 7316 and 7317 is 53531172.

2. What are the Factors of 7316?

Answer: Factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316. There are 12 integers that are factors of 7316. The greatest factor of 7316 is 7316.

3. What are the Factors of 7317?

Answer: Factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317. There are 8 integers that are factors of 7317. The greatest factor of 7317 is 7317.

4. How to Find the LCM of 7316 and 7317?

Answer:

Least Common Multiple of 7316 and 7317 = 53531172

Step 1: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

Step 2: Find the prime factorization of 7317

7317 = 3 x 3 x 3 x 271

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

LCM = 53531172 = 2 x 2 x 3 x 3 x 3 x 31 x 59 x 271

Step 4: Therefore, the least common multiple of 7316 and 7317 is 53531172.