Least Common Multiple of 7316 and 7318

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 7318 the smallest integer that is 26769244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7316 and 7318 is 26769244.

LCM(7316,7318) = 26769244

LCM of 7316 and 7318

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

LCM of:
and

Least Common Multiple of 7316 and 7318

LCM of 7316 and 7318 is 26769244

Least common multiple can be found by multiplying the highest exponent prime factors of 7316 and 7318. First we will calculate the prime factors of 7316 and 7318.

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 7318


2 7318
3659 3659
1

Prime factors of 7318 are 2,3659. Prime factorization of 7318 in exponential form is:

7318 = 21×36591

Now multiplying the highest exponent prime factors to calculate the LCM of 7316 and 7318.

LCM(7316,7318) = 22×311×591×36591
LCM(7316,7318) = 26769244

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 7318

List of positive integer factors of 7318 that divides 7318 without a remainder.

1, 2, 3659, 7318

Least Common Multiple of 7316 and 7318 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 7318, than apply into the LCM equation.

GCF(7316,7318) = 2
LCM(7316,7318) = ( 7316 × 7318) / 2
LCM(7316,7318) = 53538488 / 2
LCM(7316,7318) = 26769244

Properties of LCM 7316 and 7318

(i) The LCM of 7318 and 7316 is associative

LCM of 7316 and 7318 = LCM of 7318 and 7316

Related Least Common Multiples of 7316

Related Least Common Multiples of 7318

Frequently Asked Questions on LCM of 7316 and 7318

1. What is the LCM of 7316 and 7318?

Answer: LCM of 7316 and 7318 is 26769244.

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 7318?

Answer: Factors of 7318 are 1, 2, 3659, 7318. There are 4 integers that are factors of 7318. The greatest factor of 7318 is 7318.

4. How to Find the LCM of 7316 and 7318?

Answer:

Least Common Multiple of 7316 and 7318 = 26769244

Step 1: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

Step 2: Find the prime factorization of 7318

7318 = 2 x 3659

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

LCM = 26769244 = 2 x 2 x 31 x 59 x 3659

Step 4: Therefore, the least common multiple of 7316 and 7318 is 26769244.