Least Common Multiple of 6432 and 6439

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 6439 the smallest integer that is 41415648 that is divisible by both numbers.

Least Common Multiple (LCM) of 6432 and 6439 is 41415648.

LCM(6432,6439) = 41415648

LCM of 6432 and 6439

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

LCM of:
and

Least Common Multiple of 6432 and 6439

LCM of 6432 and 6439 is 41415648

Least common multiple can be found by multiplying the highest exponent prime factors of 6432 and 6439. First we will calculate the prime factors of 6432 and 6439.

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 6439


47 6439
137 137
1

Prime factors of 6439 are 47,137. Prime factorization of 6439 in exponential form is:

6439 = 471×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6432 and 6439.

LCM(6432,6439) = 25×31×471×671×1371
LCM(6432,6439) = 41415648

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 6439

List of positive integer factors of 6439 that divides 6439 without a remainder.

1, 47, 137, 6439

Least Common Multiple of 6432 and 6439 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 6439, than apply into the LCM equation.

GCF(6432,6439) = 1
LCM(6432,6439) = ( 6432 × 6439) / 1
LCM(6432,6439) = 41415648 / 1
LCM(6432,6439) = 41415648

Properties of LCM 6432 and 6439

(i) The LCM of 6439 and 6432 is associative

LCM of 6432 and 6439 = LCM of 6439 and 6432

Related Least Common Multiples of 6432

Related Least Common Multiples of 6439

Frequently Asked Questions on LCM of 6432 and 6439

1. What is the LCM of 6432 and 6439?

Answer: LCM of 6432 and 6439 is 41415648.

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 6439?

Answer: Factors of 6439 are 1, 47, 137, 6439. There are 4 integers that are factors of 6439. The greatest factor of 6439 is 6439.

4. How to Find the LCM of 6432 and 6439?

Answer:

Least Common Multiple of 6432 and 6439 = 41415648

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 6439

6439 = 47 x 137

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

LCM = 41415648 = 2 x 2 x 2 x 2 x 2 x 3 x 47 x 67 x 137

Step 4: Therefore, the least common multiple of 6432 and 6439 is 41415648.