Least Common Multiple of 6428 and 6435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6428 and 6435 the smallest integer that is 41364180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6428 and 6435 is 41364180.

LCM(6428,6435) = 41364180

LCM of 6428 and 6435

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

LCM of:
and

Least Common Multiple of 6428 and 6435

LCM of 6428 and 6435 is 41364180

Least common multiple can be found by multiplying the highest exponent prime factors of 6428 and 6435. First we will calculate the prime factors of 6428 and 6435.

Prime Factorization of 6428


2 6428
2 3214
1607 1607
1

Prime factors of 6428 are 2,1607. Prime factorization of 6428 in exponential form is:

6428 = 22×16071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6428 and 6435.

LCM(6428,6435) = 22×32×51×111×131×16071
LCM(6428,6435) = 41364180

Factors of 6428

List of positive integer factors of 6428 that divides 6428 without a remainder.

1, 2, 4, 1607, 3214, 6428

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

Least Common Multiple of 6428 and 6435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6428 and 6435, than apply into the LCM equation.

GCF(6428,6435) = 1
LCM(6428,6435) = ( 6428 × 6435) / 1
LCM(6428,6435) = 41364180 / 1
LCM(6428,6435) = 41364180

Properties of LCM 6428 and 6435

(i) The LCM of 6435 and 6428 is associative

LCM of 6428 and 6435 = LCM of 6435 and 6428

Related Least Common Multiples of 6428

Related Least Common Multiples of 6435

Frequently Asked Questions on LCM of 6428 and 6435

1. What is the LCM of 6428 and 6435?

Answer: LCM of 6428 and 6435 is 41364180.

2. What are the Factors of 6428?

Answer: Factors of 6428 are 1, 2, 4, 1607, 3214, 6428. There are 6 integers that are factors of 6428. The greatest factor of 6428 is 6428.

3. 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.

4. How to Find the LCM of 6428 and 6435?

Answer:

Least Common Multiple of 6428 and 6435 = 41364180

Step 1: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

Step 2: Find the prime factorization of 6435

6435 = 3 x 3 x 5 x 11 x 13

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

LCM = 41364180 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 1607

Step 4: Therefore, the least common multiple of 6428 and 6435 is 41364180.