Least Common Multiple of 6432 and 6440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6432 and 6440 the smallest integer that is 5177760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6432 and 6440 is 5177760.

LCM(6432,6440) = 5177760

LCM of 6432 and 6440

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

LCM of:
and

Least Common Multiple of 6432 and 6440

LCM of 6432 and 6440 is 5177760

Least common multiple can be found by multiplying the highest exponent prime factors of 6432 and 6440. First we will calculate the prime factors of 6432 and 6440.

Prime Factorization of 6432


2 6432
2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 6432 are 2, 3,67. Prime factorization of 6432 in exponential form is:

6432 = 25×31×671

Prime Factorization of 6440


2 6440
2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 6440 are 2, 5, 7,23. Prime factorization of 6440 in exponential form is:

6440 = 23×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6432 and 6440.

LCM(6432,6440) = 25×31×51×71×231×671
LCM(6432,6440) = 5177760

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440

Least Common Multiple of 6432 and 6440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6432 and 6440, than apply into the LCM equation.

GCF(6432,6440) = 8
LCM(6432,6440) = ( 6432 × 6440) / 8
LCM(6432,6440) = 41422080 / 8
LCM(6432,6440) = 5177760

Properties of LCM 6432 and 6440

(i) The LCM of 6440 and 6432 is associative

LCM of 6432 and 6440 = LCM of 6440 and 6432

Related Least Common Multiples of 6432

Related Least Common Multiples of 6440

Frequently Asked Questions on LCM of 6432 and 6440

1. What is the LCM of 6432 and 6440?

Answer: LCM of 6432 and 6440 is 5177760.

2. What are the Factors of 6432?

Answer: Factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432. There are 24 integers that are factors of 6432. The greatest factor of 6432 is 6432.

3. What are the Factors of 6440?

Answer: Factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440. There are 32 integers that are factors of 6440. The greatest factor of 6440 is 6440.

4. How to Find the LCM of 6432 and 6440?

Answer:

Least Common Multiple of 6432 and 6440 = 5177760

Step 1: Find the prime factorization of 6432

6432 = 2 x 2 x 2 x 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 6440

6440 = 2 x 2 x 2 x 5 x 7 x 23

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

LCM = 5177760 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 67

Step 4: Therefore, the least common multiple of 6432 and 6440 is 5177760.