Least Common Multiple of 6364 and 6365

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 6365 the smallest integer that is 40506860 that is divisible by both numbers.

Least Common Multiple (LCM) of 6364 and 6365 is 40506860.

LCM(6364,6365) = 40506860

LCM of 6364 and 6365

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

LCM of:
and

Least Common Multiple of 6364 and 6365

LCM of 6364 and 6365 is 40506860

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6365. First we will calculate the prime factors of 6364 and 6365.

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 6365


5 6365
19 1273
67 67
1

Prime factors of 6365 are 5, 19,67. Prime factorization of 6365 in exponential form is:

6365 = 51×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6365.

LCM(6364,6365) = 22×51×191×371×431×671
LCM(6364,6365) = 40506860

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 6365

List of positive integer factors of 6365 that divides 6365 without a remainder.

1, 5, 19, 67, 95, 335, 1273, 6365

Least Common Multiple of 6364 and 6365 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 6365, than apply into the LCM equation.

GCF(6364,6365) = 1
LCM(6364,6365) = ( 6364 × 6365) / 1
LCM(6364,6365) = 40506860 / 1
LCM(6364,6365) = 40506860

Properties of LCM 6364 and 6365

(i) The LCM of 6365 and 6364 is associative

LCM of 6364 and 6365 = LCM of 6365 and 6364

Related Least Common Multiples of 6364

Related Least Common Multiples of 6365

Frequently Asked Questions on LCM of 6364 and 6365

1. What is the LCM of 6364 and 6365?

Answer: LCM of 6364 and 6365 is 40506860.

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 6365?

Answer: Factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365. There are 8 integers that are factors of 6365. The greatest factor of 6365 is 6365.

4. How to Find the LCM of 6364 and 6365?

Answer:

Least Common Multiple of 6364 and 6365 = 40506860

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

Step 2: Find the prime factorization of 6365

6365 = 5 x 19 x 67

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

LCM = 40506860 = 2 x 2 x 5 x 19 x 37 x 43 x 67

Step 4: Therefore, the least common multiple of 6364 and 6365 is 40506860.