Least Common Multiple of 7352 and 7356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7352 and 7356 the smallest integer that is 13520328 that is divisible by both numbers.

Least Common Multiple (LCM) of 7352 and 7356 is 13520328.

LCM(7352,7356) = 13520328

LCM of 7352 and 7356

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

LCM of:
and

Least Common Multiple of 7352 and 7356

LCM of 7352 and 7356 is 13520328

Least common multiple can be found by multiplying the highest exponent prime factors of 7352 and 7356. First we will calculate the prime factors of 7352 and 7356.

Prime Factorization of 7352


2 7352
2 3676
2 1838
919 919
1

Prime factors of 7352 are 2,919. Prime factorization of 7352 in exponential form is:

7352 = 23×9191

Prime Factorization of 7356


2 7356
2 3678
3 1839
613 613
1

Prime factors of 7356 are 2, 3,613. Prime factorization of 7356 in exponential form is:

7356 = 22×31×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 7352 and 7356.

LCM(7352,7356) = 23×31×6131×9191
LCM(7352,7356) = 13520328

Factors of 7352

List of positive integer factors of 7352 that divides 7352 without a remainder.

1, 2, 4, 8, 919, 1838, 3676, 7352

Factors of 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356

Least Common Multiple of 7352 and 7356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7352 and 7356, than apply into the LCM equation.

GCF(7352,7356) = 4
LCM(7352,7356) = ( 7352 × 7356) / 4
LCM(7352,7356) = 54081312 / 4
LCM(7352,7356) = 13520328

Properties of LCM 7352 and 7356

(i) The LCM of 7356 and 7352 is associative

LCM of 7352 and 7356 = LCM of 7356 and 7352

Related Least Common Multiples of 7352

Related Least Common Multiples of 7356

Frequently Asked Questions on LCM of 7352 and 7356

1. What is the LCM of 7352 and 7356?

Answer: LCM of 7352 and 7356 is 13520328.

2. What are the Factors of 7352?

Answer: Factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352. There are 8 integers that are factors of 7352. The greatest factor of 7352 is 7352.

3. What are the Factors of 7356?

Answer: Factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. There are 12 integers that are factors of 7356. The greatest factor of 7356 is 7356.

4. How to Find the LCM of 7352 and 7356?

Answer:

Least Common Multiple of 7352 and 7356 = 13520328

Step 1: Find the prime factorization of 7352

7352 = 2 x 2 x 2 x 919

Step 2: Find the prime factorization of 7356

7356 = 2 x 2 x 3 x 613

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

LCM = 13520328 = 2 x 2 x 2 x 3 x 613 x 919

Step 4: Therefore, the least common multiple of 7352 and 7356 is 13520328.