Least Common Multiple of 6365 and 6373

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 6373 the smallest integer that is 40564145 that is divisible by both numbers.

Least Common Multiple (LCM) of 6365 and 6373 is 40564145.

LCM(6365,6373) = 40564145

LCM of 6365 and 6373

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

LCM of:
and

Least Common Multiple of 6365 and 6373

LCM of 6365 and 6373 is 40564145

Least common multiple can be found by multiplying the highest exponent prime factors of 6365 and 6373. First we will calculate the prime factors of 6365 and 6373.

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 6373


6373 6373
1

Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:

6373 = 63731

Now multiplying the highest exponent prime factors to calculate the LCM of 6365 and 6373.

LCM(6365,6373) = 51×191×671×63731
LCM(6365,6373) = 40564145

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 6373

List of positive integer factors of 6373 that divides 6373 without a remainder.

1, 6373

Least Common Multiple of 6365 and 6373 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 6373, than apply into the LCM equation.

GCF(6365,6373) = 1
LCM(6365,6373) = ( 6365 × 6373) / 1
LCM(6365,6373) = 40564145 / 1
LCM(6365,6373) = 40564145

Properties of LCM 6365 and 6373

(i) The LCM of 6373 and 6365 is associative

LCM of 6365 and 6373 = LCM of 6373 and 6365

Related Least Common Multiples of 6365

Related Least Common Multiples of 6373

Frequently Asked Questions on LCM of 6365 and 6373

1. What is the LCM of 6365 and 6373?

Answer: LCM of 6365 and 6373 is 40564145.

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 6373?

Answer: Factors of 6373 are 1, 6373. There are 2 integers that are factors of 6373. The greatest factor of 6373 is 6373.

4. How to Find the LCM of 6365 and 6373?

Answer:

Least Common Multiple of 6365 and 6373 = 40564145

Step 1: Find the prime factorization of 6365

6365 = 5 x 19 x 67

Step 2: Find the prime factorization of 6373

6373 = 6373

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

LCM = 40564145 = 5 x 19 x 67 x 6373

Step 4: Therefore, the least common multiple of 6365 and 6373 is 40564145.