Least Common Multiple of 6435 and 6441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6435 and 6441 the smallest integer that is 13815945 that is divisible by both numbers.

Least Common Multiple (LCM) of 6435 and 6441 is 13815945.

LCM(6435,6441) = 13815945

LCM of 6435 and 6441

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

LCM of:
and

Least Common Multiple of 6435 and 6441

LCM of 6435 and 6441 is 13815945

Least common multiple can be found by multiplying the highest exponent prime factors of 6435 and 6441. First we will calculate the prime factors of 6435 and 6441.

Prime Factorization of 6435


3 6435
3 2145
5 715
11 143
13 13
1

Prime factors of 6435 are 3, 5, 11,13. Prime factorization of 6435 in exponential form is:

6435 = 32×51×111×131

Prime Factorization of 6441


3 6441
19 2147
113 113
1

Prime factors of 6441 are 3, 19,113. Prime factorization of 6441 in exponential form is:

6441 = 31×191×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6435 and 6441.

LCM(6435,6441) = 32×51×111×131×191×1131
LCM(6435,6441) = 13815945

Factors of 6435

List of positive integer factors of 6435 that divides 6435 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435

Factors of 6441

List of positive integer factors of 6441 that divides 6441 without a remainder.

1, 3, 19, 57, 113, 339, 2147, 6441

Least Common Multiple of 6435 and 6441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6435 and 6441, than apply into the LCM equation.

GCF(6435,6441) = 3
LCM(6435,6441) = ( 6435 × 6441) / 3
LCM(6435,6441) = 41447835 / 3
LCM(6435,6441) = 13815945

Properties of LCM 6435 and 6441

(i) The LCM of 6441 and 6435 is associative

LCM of 6435 and 6441 = LCM of 6441 and 6435

Related Least Common Multiples of 6435

Related Least Common Multiples of 6441

Frequently Asked Questions on LCM of 6435 and 6441

1. What is the LCM of 6435 and 6441?

Answer: LCM of 6435 and 6441 is 13815945.

2. What are the Factors of 6435?

Answer: Factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435. There are 24 integers that are factors of 6435. The greatest factor of 6435 is 6435.

3. What are the Factors of 6441?

Answer: Factors of 6441 are 1, 3, 19, 57, 113, 339, 2147, 6441. There are 8 integers that are factors of 6441. The greatest factor of 6441 is 6441.

4. How to Find the LCM of 6435 and 6441?

Answer:

Least Common Multiple of 6435 and 6441 = 13815945

Step 1: Find the prime factorization of 6435

6435 = 3 x 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 6441

6441 = 3 x 19 x 113

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

LCM = 13815945 = 3 x 3 x 5 x 11 x 13 x 19 x 113

Step 4: Therefore, the least common multiple of 6435 and 6441 is 13815945.