Least Common Multiple of 6435 and 6443

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 6443 the smallest integer that is 41460705 that is divisible by both numbers.

Least Common Multiple (LCM) of 6435 and 6443 is 41460705.

LCM(6435,6443) = 41460705

LCM of 6435 and 6443

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

LCM of:
and

Least Common Multiple of 6435 and 6443

LCM of 6435 and 6443 is 41460705

Least common multiple can be found by multiplying the highest exponent prime factors of 6435 and 6443. First we will calculate the prime factors of 6435 and 6443.

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 6443


17 6443
379 379
1

Prime factors of 6443 are 17,379. Prime factorization of 6443 in exponential form is:

6443 = 171×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 6435 and 6443.

LCM(6435,6443) = 32×51×111×131×171×3791
LCM(6435,6443) = 41460705

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 6443

List of positive integer factors of 6443 that divides 6443 without a remainder.

1, 17, 379, 6443

Least Common Multiple of 6435 and 6443 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 6443, than apply into the LCM equation.

GCF(6435,6443) = 1
LCM(6435,6443) = ( 6435 × 6443) / 1
LCM(6435,6443) = 41460705 / 1
LCM(6435,6443) = 41460705

Properties of LCM 6435 and 6443

(i) The LCM of 6443 and 6435 is associative

LCM of 6435 and 6443 = LCM of 6443 and 6435

Frequently Asked Questions on LCM of 6435 and 6443

1. What is the LCM of 6435 and 6443?

Answer: LCM of 6435 and 6443 is 41460705.

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 6443?

Answer: Factors of 6443 are 1, 17, 379, 6443. There are 4 integers that are factors of 6443. The greatest factor of 6443 is 6443.

4. How to Find the LCM of 6435 and 6443?

Answer:

Least Common Multiple of 6435 and 6443 = 41460705

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 6443

6443 = 17 x 379

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

LCM = 41460705 = 3 x 3 x 5 x 11 x 13 x 17 x 379

Step 4: Therefore, the least common multiple of 6435 and 6443 is 41460705.