Least Common Multiple of 7316 and 7324

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 7324 the smallest integer that is 13395596 that is divisible by both numbers.

Least Common Multiple (LCM) of 7316 and 7324 is 13395596.

LCM(7316,7324) = 13395596

LCM of 7316 and 7324

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

LCM of:
and

Least Common Multiple of 7316 and 7324

LCM of 7316 and 7324 is 13395596

Least common multiple can be found by multiplying the highest exponent prime factors of 7316 and 7324. First we will calculate the prime factors of 7316 and 7324.

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 7324


2 7324
2 3662
1831 1831
1

Prime factors of 7324 are 2,1831. Prime factorization of 7324 in exponential form is:

7324 = 22×18311

Now multiplying the highest exponent prime factors to calculate the LCM of 7316 and 7324.

LCM(7316,7324) = 22×311×591×18311
LCM(7316,7324) = 13395596

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 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1, 2, 4, 1831, 3662, 7324

Least Common Multiple of 7316 and 7324 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 7324, than apply into the LCM equation.

GCF(7316,7324) = 4
LCM(7316,7324) = ( 7316 × 7324) / 4
LCM(7316,7324) = 53582384 / 4
LCM(7316,7324) = 13395596

Properties of LCM 7316 and 7324

(i) The LCM of 7324 and 7316 is associative

LCM of 7316 and 7324 = LCM of 7324 and 7316

Related Least Common Multiples of 7316

Related Least Common Multiples of 7324

Frequently Asked Questions on LCM of 7316 and 7324

1. What is the LCM of 7316 and 7324?

Answer: LCM of 7316 and 7324 is 13395596.

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 7324?

Answer: Factors of 7324 are 1, 2, 4, 1831, 3662, 7324. There are 6 integers that are factors of 7324. The greatest factor of 7324 is 7324.

4. How to Find the LCM of 7316 and 7324?

Answer:

Least Common Multiple of 7316 and 7324 = 13395596

Step 1: Find the prime factorization of 7316

7316 = 2 x 2 x 31 x 59

Step 2: Find the prime factorization of 7324

7324 = 2 x 2 x 1831

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

LCM = 13395596 = 2 x 2 x 31 x 59 x 1831

Step 4: Therefore, the least common multiple of 7316 and 7324 is 13395596.