Least Common Multiple of 6344 and 6350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6344 and 6350 the smallest integer that is 20142200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6344 and 6350 is 20142200.

LCM(6344,6350) = 20142200

LCM of 6344 and 6350

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

LCM of:
and

Least Common Multiple of 6344 and 6350

LCM of 6344 and 6350 is 20142200

Least common multiple can be found by multiplying the highest exponent prime factors of 6344 and 6350. First we will calculate the prime factors of 6344 and 6350.

Prime Factorization of 6344


2 6344
2 3172
2 1586
13 793
61 61
1

Prime factors of 6344 are 2, 13,61. Prime factorization of 6344 in exponential form is:

6344 = 23×131×611

Prime Factorization of 6350


2 6350
5 3175
5 635
127 127
1

Prime factors of 6350 are 2, 5,127. Prime factorization of 6350 in exponential form is:

6350 = 21×52×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6344 and 6350.

LCM(6344,6350) = 23×52×131×611×1271
LCM(6344,6350) = 20142200

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350

Least Common Multiple of 6344 and 6350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6344 and 6350, than apply into the LCM equation.

GCF(6344,6350) = 2
LCM(6344,6350) = ( 6344 × 6350) / 2
LCM(6344,6350) = 40284400 / 2
LCM(6344,6350) = 20142200

Properties of LCM 6344 and 6350

(i) The LCM of 6350 and 6344 is associative

LCM of 6344 and 6350 = LCM of 6350 and 6344

Related Least Common Multiples of 6344

Related Least Common Multiples of 6350

Frequently Asked Questions on LCM of 6344 and 6350

1. What is the LCM of 6344 and 6350?

Answer: LCM of 6344 and 6350 is 20142200.

2. What are the Factors of 6344?

Answer: Factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344. There are 16 integers that are factors of 6344. The greatest factor of 6344 is 6344.

3. What are the Factors of 6350?

Answer: Factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350. There are 12 integers that are factors of 6350. The greatest factor of 6350 is 6350.

4. How to Find the LCM of 6344 and 6350?

Answer:

Least Common Multiple of 6344 and 6350 = 20142200

Step 1: Find the prime factorization of 6344

6344 = 2 x 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 6350

6350 = 2 x 5 x 5 x 127

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

LCM = 20142200 = 2 x 2 x 2 x 5 x 5 x 13 x 61 x 127

Step 4: Therefore, the least common multiple of 6344 and 6350 is 20142200.