Least Common Multiple of 7352 and 7358

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 7358 the smallest integer that is 27048008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7352 and 7358 is 27048008.

LCM(7352,7358) = 27048008

LCM of 7352 and 7358

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

LCM of:
and

Least Common Multiple of 7352 and 7358

LCM of 7352 and 7358 is 27048008

Least common multiple can be found by multiplying the highest exponent prime factors of 7352 and 7358. First we will calculate the prime factors of 7352 and 7358.

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 7358


2 7358
13 3679
283 283
1

Prime factors of 7358 are 2, 13,283. Prime factorization of 7358 in exponential form is:

7358 = 21×131×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7352 and 7358.

LCM(7352,7358) = 23×131×2831×9191
LCM(7352,7358) = 27048008

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 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1, 2, 13, 26, 283, 566, 3679, 7358

Least Common Multiple of 7352 and 7358 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 7358, than apply into the LCM equation.

GCF(7352,7358) = 2
LCM(7352,7358) = ( 7352 × 7358) / 2
LCM(7352,7358) = 54096016 / 2
LCM(7352,7358) = 27048008

Properties of LCM 7352 and 7358

(i) The LCM of 7358 and 7352 is associative

LCM of 7352 and 7358 = LCM of 7358 and 7352

Related Least Common Multiples of 7352

Related Least Common Multiples of 7358

Frequently Asked Questions on LCM of 7352 and 7358

1. What is the LCM of 7352 and 7358?

Answer: LCM of 7352 and 7358 is 27048008.

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 7358?

Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.

4. How to Find the LCM of 7352 and 7358?

Answer:

Least Common Multiple of 7352 and 7358 = 27048008

Step 1: Find the prime factorization of 7352

7352 = 2 x 2 x 2 x 919

Step 2: Find the prime factorization of 7358

7358 = 2 x 13 x 283

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

LCM = 27048008 = 2 x 2 x 2 x 13 x 283 x 919

Step 4: Therefore, the least common multiple of 7352 and 7358 is 27048008.