Least Common Multiple of 6445 and 6450

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 6450 the smallest integer that is 8314050 that is divisible by both numbers.

Least Common Multiple (LCM) of 6445 and 6450 is 8314050.

LCM(6445,6450) = 8314050

LCM of 6445 and 6450

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

LCM of:
and

Least Common Multiple of 6445 and 6450

LCM of 6445 and 6450 is 8314050

Least common multiple can be found by multiplying the highest exponent prime factors of 6445 and 6450. First we will calculate the prime factors of 6445 and 6450.

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 6450


2 6450
3 3225
5 1075
5 215
43 43
1

Prime factors of 6450 are 2, 3, 5,43. Prime factorization of 6450 in exponential form is:

6450 = 21×31×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6445 and 6450.

LCM(6445,6450) = 21×31×52×431×12891
LCM(6445,6450) = 8314050

Factors of 6445

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

1, 5, 1289, 6445

Factors of 6450

List of positive integer factors of 6450 that divides 6450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450

Least Common Multiple of 6445 and 6450 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 6450, than apply into the LCM equation.

GCF(6445,6450) = 5
LCM(6445,6450) = ( 6445 × 6450) / 5
LCM(6445,6450) = 41570250 / 5
LCM(6445,6450) = 8314050

Properties of LCM 6445 and 6450

(i) The LCM of 6450 and 6445 is associative

LCM of 6445 and 6450 = LCM of 6450 and 6445

Related Least Common Multiples of 6445

Related Least Common Multiples of 6450

Frequently Asked Questions on LCM of 6445 and 6450

1. What is the LCM of 6445 and 6450?

Answer: LCM of 6445 and 6450 is 8314050.

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 6450?

Answer: Factors of 6450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450. There are 24 integers that are factors of 6450. The greatest factor of 6450 is 6450.

4. How to Find the LCM of 6445 and 6450?

Answer:

Least Common Multiple of 6445 and 6450 = 8314050

Step 1: Find the prime factorization of 6445

6445 = 5 x 1289

Step 2: Find the prime factorization of 6450

6450 = 2 x 3 x 5 x 5 x 43

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

LCM = 8314050 = 2 x 3 x 5 x 5 x 43 x 1289

Step 4: Therefore, the least common multiple of 6445 and 6450 is 8314050.