Least Common Multiple of 6328 and 6335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6328 and 6335 the smallest integer that is 5726840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6328 and 6335 is 5726840.

LCM(6328,6335) = 5726840

LCM of 6328 and 6335

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

LCM of:
and

Least Common Multiple of 6328 and 6335

LCM of 6328 and 6335 is 5726840

Least common multiple can be found by multiplying the highest exponent prime factors of 6328 and 6335. First we will calculate the prime factors of 6328 and 6335.

Prime Factorization of 6328


2 6328
2 3164
2 1582
7 791
113 113
1

Prime factors of 6328 are 2, 7,113. Prime factorization of 6328 in exponential form is:

6328 = 23×71×1131

Prime Factorization of 6335


5 6335
7 1267
181 181
1

Prime factors of 6335 are 5, 7,181. Prime factorization of 6335 in exponential form is:

6335 = 51×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6328 and 6335.

LCM(6328,6335) = 23×51×71×1131×1811
LCM(6328,6335) = 5726840

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1, 5, 7, 35, 181, 905, 1267, 6335

Least Common Multiple of 6328 and 6335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6328 and 6335, than apply into the LCM equation.

GCF(6328,6335) = 7
LCM(6328,6335) = ( 6328 × 6335) / 7
LCM(6328,6335) = 40087880 / 7
LCM(6328,6335) = 5726840

Properties of LCM 6328 and 6335

(i) The LCM of 6335 and 6328 is associative

LCM of 6328 and 6335 = LCM of 6335 and 6328

Related Least Common Multiples of 6328

Related Least Common Multiples of 6335

Frequently Asked Questions on LCM of 6328 and 6335

1. What is the LCM of 6328 and 6335?

Answer: LCM of 6328 and 6335 is 5726840.

2. What are the Factors of 6328?

Answer: Factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328. There are 16 integers that are factors of 6328. The greatest factor of 6328 is 6328.

3. What are the Factors of 6335?

Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.

4. How to Find the LCM of 6328 and 6335?

Answer:

Least Common Multiple of 6328 and 6335 = 5726840

Step 1: Find the prime factorization of 6328

6328 = 2 x 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 6335

6335 = 5 x 7 x 181

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

LCM = 5726840 = 2 x 2 x 2 x 5 x 7 x 113 x 181

Step 4: Therefore, the least common multiple of 6328 and 6335 is 5726840.