Least Common Multiple of 7432 and 7439

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 7439 the smallest integer that is 55286648 that is divisible by both numbers.

Least Common Multiple (LCM) of 7432 and 7439 is 55286648.

LCM(7432,7439) = 55286648

LCM of 7432 and 7439

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

LCM of:
and

Least Common Multiple of 7432 and 7439

LCM of 7432 and 7439 is 55286648

Least common multiple can be found by multiplying the highest exponent prime factors of 7432 and 7439. First we will calculate the prime factors of 7432 and 7439.

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 7439


43 7439
173 173
1

Prime factors of 7439 are 43,173. Prime factorization of 7439 in exponential form is:

7439 = 431×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7432 and 7439.

LCM(7432,7439) = 23×431×1731×9291
LCM(7432,7439) = 55286648

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 7439

List of positive integer factors of 7439 that divides 7439 without a remainder.

1, 43, 173, 7439

Least Common Multiple of 7432 and 7439 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 7439, than apply into the LCM equation.

GCF(7432,7439) = 1
LCM(7432,7439) = ( 7432 × 7439) / 1
LCM(7432,7439) = 55286648 / 1
LCM(7432,7439) = 55286648

Properties of LCM 7432 and 7439

(i) The LCM of 7439 and 7432 is associative

LCM of 7432 and 7439 = LCM of 7439 and 7432

Related Least Common Multiples of 7432

Related Least Common Multiples of 7439

Frequently Asked Questions on LCM of 7432 and 7439

1. What is the LCM of 7432 and 7439?

Answer: LCM of 7432 and 7439 is 55286648.

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 7439?

Answer: Factors of 7439 are 1, 43, 173, 7439. There are 4 integers that are factors of 7439. The greatest factor of 7439 is 7439.

4. How to Find the LCM of 7432 and 7439?

Answer:

Least Common Multiple of 7432 and 7439 = 55286648

Step 1: Find the prime factorization of 7432

7432 = 2 x 2 x 2 x 929

Step 2: Find the prime factorization of 7439

7439 = 43 x 173

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

LCM = 55286648 = 2 x 2 x 2 x 43 x 173 x 929

Step 4: Therefore, the least common multiple of 7432 and 7439 is 55286648.