Least Common Multiple of 7364 and 7368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7364 and 7368 the smallest integer that is 13564488 that is divisible by both numbers.

Least Common Multiple (LCM) of 7364 and 7368 is 13564488.

LCM(7364,7368) = 13564488

LCM of 7364 and 7368

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

LCM of:
and

Least Common Multiple of 7364 and 7368

LCM of 7364 and 7368 is 13564488

Least common multiple can be found by multiplying the highest exponent prime factors of 7364 and 7368. First we will calculate the prime factors of 7364 and 7368.

Prime Factorization of 7364


2 7364
2 3682
7 1841
263 263
1

Prime factors of 7364 are 2, 7,263. Prime factorization of 7364 in exponential form is:

7364 = 22×71×2631

Prime Factorization of 7368


2 7368
2 3684
2 1842
3 921
307 307
1

Prime factors of 7368 are 2, 3,307. Prime factorization of 7368 in exponential form is:

7368 = 23×31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7368.

LCM(7364,7368) = 23×31×71×2631×3071
LCM(7364,7368) = 13564488

Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368

Least Common Multiple of 7364 and 7368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7368, than apply into the LCM equation.

GCF(7364,7368) = 4
LCM(7364,7368) = ( 7364 × 7368) / 4
LCM(7364,7368) = 54257952 / 4
LCM(7364,7368) = 13564488

Properties of LCM 7364 and 7368

(i) The LCM of 7368 and 7364 is associative

LCM of 7364 and 7368 = LCM of 7368 and 7364

Related Least Common Multiples of 7364

Related Least Common Multiples of 7368

Frequently Asked Questions on LCM of 7364 and 7368

1. What is the LCM of 7364 and 7368?

Answer: LCM of 7364 and 7368 is 13564488.

2. What are the Factors of 7364?

Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.

3. What are the Factors of 7368?

Answer: Factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368. There are 16 integers that are factors of 7368. The greatest factor of 7368 is 7368.

4. How to Find the LCM of 7364 and 7368?

Answer:

Least Common Multiple of 7364 and 7368 = 13564488

Step 1: Find the prime factorization of 7364

7364 = 2 x 2 x 7 x 263

Step 2: Find the prime factorization of 7368

7368 = 2 x 2 x 2 x 3 x 307

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

LCM = 13564488 = 2 x 2 x 2 x 3 x 7 x 263 x 307

Step 4: Therefore, the least common multiple of 7364 and 7368 is 13564488.