Least Common Multiple of 7316 and 7322

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 7322 the smallest integer that is 26783876 that is divisible by both numbers.

Least Common Multiple (LCM) of 7316 and 7322 is 26783876.

LCM(7316,7322) = 26783876

LCM of 7316 and 7322

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

LCM of:
and

Least Common Multiple of 7316 and 7322

LCM of 7316 and 7322 is 26783876

Least common multiple can be found by multiplying the highest exponent prime factors of 7316 and 7322. First we will calculate the prime factors of 7316 and 7322.

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 7322


2 7322
7 3661
523 523
1

Prime factors of 7322 are 2, 7,523. Prime factorization of 7322 in exponential form is:

7322 = 21×71×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 7316 and 7322.

LCM(7316,7322) = 22×71×311×591×5231
LCM(7316,7322) = 26783876

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 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1, 2, 7, 14, 523, 1046, 3661, 7322

Least Common Multiple of 7316 and 7322 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 7322, than apply into the LCM equation.

GCF(7316,7322) = 2
LCM(7316,7322) = ( 7316 × 7322) / 2
LCM(7316,7322) = 53567752 / 2
LCM(7316,7322) = 26783876

Properties of LCM 7316 and 7322

(i) The LCM of 7322 and 7316 is associative

LCM of 7316 and 7322 = LCM of 7322 and 7316

Related Least Common Multiples of 7316

Related Least Common Multiples of 7322

Frequently Asked Questions on LCM of 7316 and 7322

1. What is the LCM of 7316 and 7322?

Answer: LCM of 7316 and 7322 is 26783876.

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 7322?

Answer: Factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322. There are 8 integers that are factors of 7322. The greatest factor of 7322 is 7322.

4. How to Find the LCM of 7316 and 7322?

Answer:

Least Common Multiple of 7316 and 7322 = 26783876

Step 1: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

Step 2: Find the prime factorization of 7322

7322 = 2 x 7 x 523

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

LCM = 26783876 = 2 x 2 x 7 x 31 x 59 x 523

Step 4: Therefore, the least common multiple of 7316 and 7322 is 26783876.