Least Common Multiple of 7432 and 7436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7432 and 7436 the smallest integer that is 13816088 that is divisible by both numbers.

Least Common Multiple (LCM) of 7432 and 7436 is 13816088.

LCM(7432,7436) = 13816088

LCM of 7432 and 7436

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

LCM of:
and

Least Common Multiple of 7432 and 7436

LCM of 7432 and 7436 is 13816088

Least common multiple can be found by multiplying the highest exponent prime factors of 7432 and 7436. First we will calculate the prime factors of 7432 and 7436.

Prime Factorization of 7432


2 7432
2 3716
2 1858
929 929
1

Prime factors of 7432 are 2,929. Prime factorization of 7432 in exponential form is:

7432 = 23×9291

Prime Factorization of 7436


2 7436
2 3718
11 1859
13 169
13 13
1

Prime factors of 7436 are 2, 11,13. Prime factorization of 7436 in exponential form is:

7436 = 22×111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 7432 and 7436.

LCM(7432,7436) = 23×111×132×9291
LCM(7432,7436) = 13816088

Factors of 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1, 2, 4, 8, 929, 1858, 3716, 7432

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436

Least Common Multiple of 7432 and 7436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7432 and 7436, than apply into the LCM equation.

GCF(7432,7436) = 4
LCM(7432,7436) = ( 7432 × 7436) / 4
LCM(7432,7436) = 55264352 / 4
LCM(7432,7436) = 13816088

Properties of LCM 7432 and 7436

(i) The LCM of 7436 and 7432 is associative

LCM of 7432 and 7436 = LCM of 7436 and 7432

Related Least Common Multiples of 7432

Related Least Common Multiples of 7436

Frequently Asked Questions on LCM of 7432 and 7436

1. What is the LCM of 7432 and 7436?

Answer: LCM of 7432 and 7436 is 13816088.

2. What are the Factors of 7432?

Answer: Factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432. There are 8 integers that are factors of 7432. The greatest factor of 7432 is 7432.

3. What are the Factors of 7436?

Answer: Factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436. There are 18 integers that are factors of 7436. The greatest factor of 7436 is 7436.

4. How to Find the LCM of 7432 and 7436?

Answer:

Least Common Multiple of 7432 and 7436 = 13816088

Step 1: Find the prime factorization of 7432

7432 = 2 x 2 x 2 x 929

Step 2: Find the prime factorization of 7436

7436 = 2 x 2 x 11 x 13 x 13

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

LCM = 13816088 = 2 x 2 x 2 x 11 x 13 x 13 x 929

Step 4: Therefore, the least common multiple of 7432 and 7436 is 13816088.