Least Common Multiple of 7352 and 7357

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 7357 the smallest integer that is 54088664 that is divisible by both numbers.

Least Common Multiple (LCM) of 7352 and 7357 is 54088664.

LCM(7352,7357) = 54088664

LCM of 7352 and 7357

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

LCM of:
and

Least Common Multiple of 7352 and 7357

LCM of 7352 and 7357 is 54088664

Least common multiple can be found by multiplying the highest exponent prime factors of 7352 and 7357. First we will calculate the prime factors of 7352 and 7357.

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 7357


7 7357
1051 1051
1

Prime factors of 7357 are 7,1051. Prime factorization of 7357 in exponential form is:

7357 = 71×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 7352 and 7357.

LCM(7352,7357) = 23×71×9191×10511
LCM(7352,7357) = 54088664

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 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1, 7, 1051, 7357

Least Common Multiple of 7352 and 7357 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 7357, than apply into the LCM equation.

GCF(7352,7357) = 1
LCM(7352,7357) = ( 7352 × 7357) / 1
LCM(7352,7357) = 54088664 / 1
LCM(7352,7357) = 54088664

Properties of LCM 7352 and 7357

(i) The LCM of 7357 and 7352 is associative

LCM of 7352 and 7357 = LCM of 7357 and 7352

Related Least Common Multiples of 7352

Related Least Common Multiples of 7357

Frequently Asked Questions on LCM of 7352 and 7357

1. What is the LCM of 7352 and 7357?

Answer: LCM of 7352 and 7357 is 54088664.

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 7357?

Answer: Factors of 7357 are 1, 7, 1051, 7357. There are 4 integers that are factors of 7357. The greatest factor of 7357 is 7357.

4. How to Find the LCM of 7352 and 7357?

Answer:

Least Common Multiple of 7352 and 7357 = 54088664

Step 1: Find the prime factorization of 7352

7352 = 2 x 2 x 2 x 919

Step 2: Find the prime factorization of 7357

7357 = 7 x 1051

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

LCM = 54088664 = 2 x 2 x 2 x 7 x 919 x 1051

Step 4: Therefore, the least common multiple of 7352 and 7357 is 54088664.