Least Common Multiple of 8432 and 8440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8432 and 8440 the smallest integer that is 8895760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8432 and 8440 is 8895760.

LCM(8432,8440) = 8895760

LCM of 8432 and 8440

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

LCM of:
and

Least Common Multiple of 8432 and 8440

LCM of 8432 and 8440 is 8895760

Least common multiple can be found by multiplying the highest exponent prime factors of 8432 and 8440. First we will calculate the prime factors of 8432 and 8440.

Prime Factorization of 8432


2 8432
2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 8432 are 2, 17,31. Prime factorization of 8432 in exponential form is:

8432 = 24×171×311

Prime Factorization of 8440


2 8440
2 4220
2 2110
5 1055
211 211
1

Prime factors of 8440 are 2, 5,211. Prime factorization of 8440 in exponential form is:

8440 = 23×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8432 and 8440.

LCM(8432,8440) = 24×51×171×311×2111
LCM(8432,8440) = 8895760

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440

Least Common Multiple of 8432 and 8440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8432 and 8440, than apply into the LCM equation.

GCF(8432,8440) = 8
LCM(8432,8440) = ( 8432 × 8440) / 8
LCM(8432,8440) = 71166080 / 8
LCM(8432,8440) = 8895760

Properties of LCM 8432 and 8440

(i) The LCM of 8440 and 8432 is associative

LCM of 8432 and 8440 = LCM of 8440 and 8432

Related Least Common Multiples of 8432

Related Least Common Multiples of 8440

Frequently Asked Questions on LCM of 8432 and 8440

1. What is the LCM of 8432 and 8440?

Answer: LCM of 8432 and 8440 is 8895760.

2. What are the Factors of 8432?

Answer: Factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432. There are 20 integers that are factors of 8432. The greatest factor of 8432 is 8432.

3. What are the Factors of 8440?

Answer: Factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440. There are 16 integers that are factors of 8440. The greatest factor of 8440 is 8440.

4. How to Find the LCM of 8432 and 8440?

Answer:

Least Common Multiple of 8432 and 8440 = 8895760

Step 1: Find the prime factorization of 8432

8432 = 2 x 2 x 2 x 2 x 17 x 31

Step 2: Find the prime factorization of 8440

8440 = 2 x 2 x 2 x 5 x 211

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

LCM = 8895760 = 2 x 2 x 2 x 2 x 5 x 17 x 31 x 211

Step 4: Therefore, the least common multiple of 8432 and 8440 is 8895760.