Least Common Multiple of 6445 and 6452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6445 and 6452 the smallest integer that is 41583140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6445 and 6452 is 41583140.

LCM(6445,6452) = 41583140

LCM of 6445 and 6452

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

LCM of:
and

Least Common Multiple of 6445 and 6452

LCM of 6445 and 6452 is 41583140

Least common multiple can be found by multiplying the highest exponent prime factors of 6445 and 6452. First we will calculate the prime factors of 6445 and 6452.

Prime Factorization of 6445


5 6445
1289 1289
1

Prime factors of 6445 are 5,1289. Prime factorization of 6445 in exponential form is:

6445 = 51×12891

Prime Factorization of 6452


2 6452
2 3226
1613 1613
1

Prime factors of 6452 are 2,1613. Prime factorization of 6452 in exponential form is:

6452 = 22×16131

Now multiplying the highest exponent prime factors to calculate the LCM of 6445 and 6452.

LCM(6445,6452) = 22×51×12891×16131
LCM(6445,6452) = 41583140

Factors of 6445

List of positive integer factors of 6445 that divides 6445 without a remainder.

1, 5, 1289, 6445

Factors of 6452

List of positive integer factors of 6452 that divides 6452 without a remainder.

1, 2, 4, 1613, 3226, 6452

Least Common Multiple of 6445 and 6452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6445 and 6452, than apply into the LCM equation.

GCF(6445,6452) = 1
LCM(6445,6452) = ( 6445 × 6452) / 1
LCM(6445,6452) = 41583140 / 1
LCM(6445,6452) = 41583140

Properties of LCM 6445 and 6452

(i) The LCM of 6452 and 6445 is associative

LCM of 6445 and 6452 = LCM of 6452 and 6445

Related Least Common Multiples of 6445

Related Least Common Multiples of 6452

Frequently Asked Questions on LCM of 6445 and 6452

1. What is the LCM of 6445 and 6452?

Answer: LCM of 6445 and 6452 is 41583140.

2. What are the Factors of 6445?

Answer: Factors of 6445 are 1, 5, 1289, 6445. There are 4 integers that are factors of 6445. The greatest factor of 6445 is 6445.

3. What are the Factors of 6452?

Answer: Factors of 6452 are 1, 2, 4, 1613, 3226, 6452. There are 6 integers that are factors of 6452. The greatest factor of 6452 is 6452.

4. How to Find the LCM of 6445 and 6452?

Answer:

Least Common Multiple of 6445 and 6452 = 41583140

Step 1: Find the prime factorization of 6445

6445 = 5 x 1289

Step 2: Find the prime factorization of 6452

6452 = 2 x 2 x 1613

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

LCM = 41583140 = 2 x 2 x 5 x 1289 x 1613

Step 4: Therefore, the least common multiple of 6445 and 6452 is 41583140.