Least Common Multiple of 7309 and 7316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7309 and 7316 the smallest integer that is 53472644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7309 and 7316 is 53472644.

LCM(7309,7316) = 53472644

LCM of 7309 and 7316

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

LCM of:
and

Least Common Multiple of 7309 and 7316

LCM of 7309 and 7316 is 53472644

Least common multiple can be found by multiplying the highest exponent prime factors of 7309 and 7316. First we will calculate the prime factors of 7309 and 7316.

Prime Factorization of 7309


7309 7309
1

Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:

7309 = 73091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7309 and 7316.

LCM(7309,7316) = 22×311×591×73091
LCM(7309,7316) = 53472644

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1, 7309

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

Least Common Multiple of 7309 and 7316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7309 and 7316, than apply into the LCM equation.

GCF(7309,7316) = 1
LCM(7309,7316) = ( 7309 × 7316) / 1
LCM(7309,7316) = 53472644 / 1
LCM(7309,7316) = 53472644

Properties of LCM 7309 and 7316

(i) The LCM of 7316 and 7309 is associative

LCM of 7309 and 7316 = LCM of 7316 and 7309

Related Least Common Multiples of 7309

Related Least Common Multiples of 7316

Frequently Asked Questions on LCM of 7309 and 7316

1. What is the LCM of 7309 and 7316?

Answer: LCM of 7309 and 7316 is 53472644.

2. What are the Factors of 7309?

Answer: Factors of 7309 are 1, 7309. There are 2 integers that are factors of 7309. The greatest factor of 7309 is 7309.

3. 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.

4. How to Find the LCM of 7309 and 7316?

Answer:

Least Common Multiple of 7309 and 7316 = 53472644

Step 1: Find the prime factorization of 7309

7309 = 7309

Step 2: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

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

LCM = 53472644 = 2 x 2 x 31 x 59 x 7309

Step 4: Therefore, the least common multiple of 7309 and 7316 is 53472644.