Least Common Multiple of 6424 and 6432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6424 and 6432 the smallest integer that is 5164896 that is divisible by both numbers.

Least Common Multiple (LCM) of 6424 and 6432 is 5164896.

LCM(6424,6432) = 5164896

LCM of 6424 and 6432

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

LCM of:
and

Least Common Multiple of 6424 and 6432

LCM of 6424 and 6432 is 5164896

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6432. First we will calculate the prime factors of 6424 and 6432.

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2, 11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6432.

LCM(6424,6432) = 25×31×111×671×731
LCM(6424,6432) = 5164896

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424

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

Least Common Multiple of 6424 and 6432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6424 and 6432, than apply into the LCM equation.

GCF(6424,6432) = 8
LCM(6424,6432) = ( 6424 × 6432) / 8
LCM(6424,6432) = 41319168 / 8
LCM(6424,6432) = 5164896

Properties of LCM 6424 and 6432

(i) The LCM of 6432 and 6424 is associative

LCM of 6424 and 6432 = LCM of 6432 and 6424

Related Least Common Multiples of 6424

Related Least Common Multiples of 6432

Frequently Asked Questions on LCM of 6424 and 6432

1. What is the LCM of 6424 and 6432?

Answer: LCM of 6424 and 6432 is 5164896.

2. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

3. 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.

4. How to Find the LCM of 6424 and 6432?

Answer:

Least Common Multiple of 6424 and 6432 = 5164896

Step 1: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

Step 2: Find the prime factorization of 6432

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

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

LCM = 5164896 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 67 x 73

Step 4: Therefore, the least common multiple of 6424 and 6432 is 5164896.