Least Common Multiple of 6350 and 6358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6350 and 6358 the smallest integer that is 20186650 that is divisible by both numbers.

Least Common Multiple (LCM) of 6350 and 6358 is 20186650.

LCM(6350,6358) = 20186650

LCM of 6350 and 6358

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

LCM of:
and

Least Common Multiple of 6350 and 6358

LCM of 6350 and 6358 is 20186650

Least common multiple can be found by multiplying the highest exponent prime factors of 6350 and 6358. First we will calculate the prime factors of 6350 and 6358.

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

Prime Factorization of 6358


2 6358
11 3179
17 289
17 17
1

Prime factors of 6358 are 2, 11,17. Prime factorization of 6358 in exponential form is:

6358 = 21×111×172

Now multiplying the highest exponent prime factors to calculate the LCM of 6350 and 6358.

LCM(6350,6358) = 21×52×111×172×1271
LCM(6350,6358) = 20186650

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

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358

Least Common Multiple of 6350 and 6358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6350 and 6358, than apply into the LCM equation.

GCF(6350,6358) = 2
LCM(6350,6358) = ( 6350 × 6358) / 2
LCM(6350,6358) = 40373300 / 2
LCM(6350,6358) = 20186650

Properties of LCM 6350 and 6358

(i) The LCM of 6358 and 6350 is associative

LCM of 6350 and 6358 = LCM of 6358 and 6350

Related Least Common Multiples of 6350

Related Least Common Multiples of 6358

Frequently Asked Questions on LCM of 6350 and 6358

1. What is the LCM of 6350 and 6358?

Answer: LCM of 6350 and 6358 is 20186650.

2. 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.

3. What are the Factors of 6358?

Answer: Factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358. There are 12 integers that are factors of 6358. The greatest factor of 6358 is 6358.

4. How to Find the LCM of 6350 and 6358?

Answer:

Least Common Multiple of 6350 and 6358 = 20186650

Step 1: Find the prime factorization of 6350

6350 = 2 x 5 x 5 x 127

Step 2: Find the prime factorization of 6358

6358 = 2 x 11 x 17 x 17

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

LCM = 20186650 = 2 x 5 x 5 x 11 x 17 x 17 x 127

Step 4: Therefore, the least common multiple of 6350 and 6358 is 20186650.