Least Common Multiple of 6365 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 6365 and 6370 the smallest integer that is 8109010 that is divisible by both numbers.

Least Common Multiple (LCM) of 6365 and 6370 is 8109010.

LCM(6365,6370) = 8109010

LCM of 6365 and 6370

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

LCM of:
and

Least Common Multiple of 6365 and 6370

LCM of 6365 and 6370 is 8109010

Least common multiple can be found by multiplying the highest exponent prime factors of 6365 and 6370. First we will calculate the prime factors of 6365 and 6370.

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

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 6365 and 6370.

LCM(6365,6370) = 21×51×72×131×191×671
LCM(6365,6370) = 8109010

Factors of 6365

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

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

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 6365 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 6365 and 6370, than apply into the LCM equation.

GCF(6365,6370) = 5
LCM(6365,6370) = ( 6365 × 6370) / 5
LCM(6365,6370) = 40545050 / 5
LCM(6365,6370) = 8109010

Properties of LCM 6365 and 6370

(i) The LCM of 6370 and 6365 is associative

LCM of 6365 and 6370 = LCM of 6370 and 6365

Related Least Common Multiples of 6365

Related Least Common Multiples of 6370

Frequently Asked Questions on LCM of 6365 and 6370

1. What is the LCM of 6365 and 6370?

Answer: LCM of 6365 and 6370 is 8109010.

2. 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.

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 6365 and 6370?

Answer:

Least Common Multiple of 6365 and 6370 = 8109010

Step 1: Find the prime factorization of 6365

6365 = 5 x 19 x 67

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 = 8109010 = 2 x 5 x 7 x 7 x 13 x 19 x 67

Step 4: Therefore, the least common multiple of 6365 and 6370 is 8109010.