Least Common Multiple of 6364 and 6370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6364 and 6370 the smallest integer that is 20269340 that is divisible by both numbers.

Least Common Multiple (LCM) of 6364 and 6370 is 20269340.

LCM(6364,6370) = 20269340

LCM of 6364 and 6370

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

LCM of:
and

Least Common Multiple of 6364 and 6370

LCM of 6364 and 6370 is 20269340

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6370. First we will calculate the prime factors of 6364 and 6370.

Prime Factorization of 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2, 37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

Prime Factorization of 6370


2 6370
5 3185
7 637
7 91
13 13
1

Prime factors of 6370 are 2, 5, 7,13. Prime factorization of 6370 in exponential form is:

6370 = 21×51×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6370.

LCM(6364,6370) = 22×51×72×131×371×431
LCM(6364,6370) = 20269340

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

Factors of 6370

List of positive integer factors of 6370 that divides 6370 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370

Least Common Multiple of 6364 and 6370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6364 and 6370, than apply into the LCM equation.

GCF(6364,6370) = 2
LCM(6364,6370) = ( 6364 × 6370) / 2
LCM(6364,6370) = 40538680 / 2
LCM(6364,6370) = 20269340

Properties of LCM 6364 and 6370

(i) The LCM of 6370 and 6364 is associative

LCM of 6364 and 6370 = LCM of 6370 and 6364

Related Least Common Multiples of 6364

Related Least Common Multiples of 6370

Frequently Asked Questions on LCM of 6364 and 6370

1. What is the LCM of 6364 and 6370?

Answer: LCM of 6364 and 6370 is 20269340.

2. What are the Factors of 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

3. What are the Factors of 6370?

Answer: Factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370. There are 24 integers that are factors of 6370. The greatest factor of 6370 is 6370.

4. How to Find the LCM of 6364 and 6370?

Answer:

Least Common Multiple of 6364 and 6370 = 20269340

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

Step 2: Find the prime factorization of 6370

6370 = 2 x 5 x 7 x 7 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 = 20269340 = 2 x 2 x 5 x 7 x 7 x 13 x 37 x 43

Step 4: Therefore, the least common multiple of 6364 and 6370 is 20269340.