Least Common Multiple of 6446 and 6454

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 6454 the smallest integer that is 20801242 that is divisible by both numbers.

Least Common Multiple (LCM) of 6446 and 6454 is 20801242.

LCM(6446,6454) = 20801242

LCM of 6446 and 6454

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

LCM of:
and

Least Common Multiple of 6446 and 6454

LCM of 6446 and 6454 is 20801242

Least common multiple can be found by multiplying the highest exponent prime factors of 6446 and 6454. First we will calculate the prime factors of 6446 and 6454.

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 6454


2 6454
7 3227
461 461
1

Prime factors of 6454 are 2, 7,461. Prime factorization of 6454 in exponential form is:

6454 = 21×71×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 6446 and 6454.

LCM(6446,6454) = 21×71×111×2931×4611
LCM(6446,6454) = 20801242

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 6454

List of positive integer factors of 6454 that divides 6454 without a remainder.

1, 2, 7, 14, 461, 922, 3227, 6454

Least Common Multiple of 6446 and 6454 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 6454, than apply into the LCM equation.

GCF(6446,6454) = 2
LCM(6446,6454) = ( 6446 × 6454) / 2
LCM(6446,6454) = 41602484 / 2
LCM(6446,6454) = 20801242

Properties of LCM 6446 and 6454

(i) The LCM of 6454 and 6446 is associative

LCM of 6446 and 6454 = LCM of 6454 and 6446

Related Least Common Multiples of 6446

Related Least Common Multiples of 6454

Frequently Asked Questions on LCM of 6446 and 6454

1. What is the LCM of 6446 and 6454?

Answer: LCM of 6446 and 6454 is 20801242.

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 6454?

Answer: Factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454. There are 8 integers that are factors of 6454. The greatest factor of 6454 is 6454.

4. How to Find the LCM of 6446 and 6454?

Answer:

Least Common Multiple of 6446 and 6454 = 20801242

Step 1: Find the prime factorization of 6446

6446 = 2 x 11 x 293

Step 2: Find the prime factorization of 6454

6454 = 2 x 7 x 461

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

LCM = 20801242 = 2 x 7 x 11 x 293 x 461

Step 4: Therefore, the least common multiple of 6446 and 6454 is 20801242.