Least Common Multiple of 7352 and 7359

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 7359 the smallest integer that is 54103368 that is divisible by both numbers.

Least Common Multiple (LCM) of 7352 and 7359 is 54103368.

LCM(7352,7359) = 54103368

LCM of 7352 and 7359

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

LCM of:
and

Least Common Multiple of 7352 and 7359

LCM of 7352 and 7359 is 54103368

Least common multiple can be found by multiplying the highest exponent prime factors of 7352 and 7359. First we will calculate the prime factors of 7352 and 7359.

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 7359


3 7359
11 2453
223 223
1

Prime factors of 7359 are 3, 11,223. Prime factorization of 7359 in exponential form is:

7359 = 31×111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7352 and 7359.

LCM(7352,7359) = 23×31×111×2231×9191
LCM(7352,7359) = 54103368

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 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1, 3, 11, 33, 223, 669, 2453, 7359

Least Common Multiple of 7352 and 7359 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 7359, than apply into the LCM equation.

GCF(7352,7359) = 1
LCM(7352,7359) = ( 7352 × 7359) / 1
LCM(7352,7359) = 54103368 / 1
LCM(7352,7359) = 54103368

Properties of LCM 7352 and 7359

(i) The LCM of 7359 and 7352 is associative

LCM of 7352 and 7359 = LCM of 7359 and 7352

Related Least Common Multiples of 7352

Related Least Common Multiples of 7359

Frequently Asked Questions on LCM of 7352 and 7359

1. What is the LCM of 7352 and 7359?

Answer: LCM of 7352 and 7359 is 54103368.

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 7359?

Answer: Factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359. There are 8 integers that are factors of 7359. The greatest factor of 7359 is 7359.

4. How to Find the LCM of 7352 and 7359?

Answer:

Least Common Multiple of 7352 and 7359 = 54103368

Step 1: Find the prime factorization of 7352

7352 = 2 x 2 x 2 x 919

Step 2: Find the prime factorization of 7359

7359 = 3 x 11 x 223

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

LCM = 54103368 = 2 x 2 x 2 x 3 x 11 x 223 x 919

Step 4: Therefore, the least common multiple of 7352 and 7359 is 54103368.