Least Common Multiple of 6432 and 6436

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 6436 the smallest integer that is 10349088 that is divisible by both numbers.

Least Common Multiple (LCM) of 6432 and 6436 is 10349088.

LCM(6432,6436) = 10349088

LCM of 6432 and 6436

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

LCM of:
and

Least Common Multiple of 6432 and 6436

LCM of 6432 and 6436 is 10349088

Least common multiple can be found by multiplying the highest exponent prime factors of 6432 and 6436. First we will calculate the prime factors of 6432 and 6436.

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 6436


2 6436
2 3218
1609 1609
1

Prime factors of 6436 are 2,1609. Prime factorization of 6436 in exponential form is:

6436 = 22×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 6432 and 6436.

LCM(6432,6436) = 25×31×671×16091
LCM(6432,6436) = 10349088

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 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1, 2, 4, 1609, 3218, 6436

Least Common Multiple of 6432 and 6436 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 6436, than apply into the LCM equation.

GCF(6432,6436) = 4
LCM(6432,6436) = ( 6432 × 6436) / 4
LCM(6432,6436) = 41396352 / 4
LCM(6432,6436) = 10349088

Properties of LCM 6432 and 6436

(i) The LCM of 6436 and 6432 is associative

LCM of 6432 and 6436 = LCM of 6436 and 6432

Related Least Common Multiples of 6432

Related Least Common Multiples of 6436

Frequently Asked Questions on LCM of 6432 and 6436

1. What is the LCM of 6432 and 6436?

Answer: LCM of 6432 and 6436 is 10349088.

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 6436?

Answer: Factors of 6436 are 1, 2, 4, 1609, 3218, 6436. There are 6 integers that are factors of 6436. The greatest factor of 6436 is 6436.

4. How to Find the LCM of 6432 and 6436?

Answer:

Least Common Multiple of 6432 and 6436 = 10349088

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 6436

6436 = 2 x 2 x 1609

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

LCM = 10349088 = 2 x 2 x 2 x 2 x 2 x 3 x 67 x 1609

Step 4: Therefore, the least common multiple of 6432 and 6436 is 10349088.