Least Common Multiple of 6446 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 6446 and 6450 the smallest integer that is 20788350 that is divisible by both numbers.

Least Common Multiple (LCM) of 6446 and 6450 is 20788350.

LCM(6446,6450) = 20788350

LCM of 6446 and 6450

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

LCM of:
and

Least Common Multiple of 6446 and 6450

LCM of 6446 and 6450 is 20788350

Least common multiple can be found by multiplying the highest exponent prime factors of 6446 and 6450. First we will calculate the prime factors of 6446 and 6450.

Prime Factorization of 6446


2 6446
11 3223
293 293
1

Prime factors of 6446 are 2, 11,293. Prime factorization of 6446 in exponential form is:

6446 = 21×111×2931

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 6446 and 6450.

LCM(6446,6450) = 21×31×52×111×431×2931
LCM(6446,6450) = 20788350

Factors of 6446

List of positive integer factors of 6446 that divides 6446 without a remainder.

1, 2, 11, 22, 293, 586, 3223, 6446

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 6446 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 6446 and 6450, than apply into the LCM equation.

GCF(6446,6450) = 2
LCM(6446,6450) = ( 6446 × 6450) / 2
LCM(6446,6450) = 41576700 / 2
LCM(6446,6450) = 20788350

Properties of LCM 6446 and 6450

(i) The LCM of 6450 and 6446 is associative

LCM of 6446 and 6450 = LCM of 6450 and 6446

Related Least Common Multiples of 6446

Related Least Common Multiples of 6450

Frequently Asked Questions on LCM of 6446 and 6450

1. What is the LCM of 6446 and 6450?

Answer: LCM of 6446 and 6450 is 20788350.

2. What are the Factors of 6446?

Answer: Factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446. There are 8 integers that are factors of 6446. The greatest factor of 6446 is 6446.

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 6446 and 6450?

Answer:

Least Common Multiple of 6446 and 6450 = 20788350

Step 1: Find the prime factorization of 6446

6446 = 2 x 11 x 293

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 = 20788350 = 2 x 3 x 5 x 5 x 11 x 43 x 293

Step 4: Therefore, the least common multiple of 6446 and 6450 is 20788350.