Least Common Multiple of 6423 and 6431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6423 and 6431 the smallest integer that is 41306313 that is divisible by both numbers.

Least Common Multiple (LCM) of 6423 and 6431 is 41306313.

LCM(6423,6431) = 41306313

LCM of 6423 and 6431

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

LCM of:
and

Least Common Multiple of 6423 and 6431

LCM of 6423 and 6431 is 41306313

Least common multiple can be found by multiplying the highest exponent prime factors of 6423 and 6431. First we will calculate the prime factors of 6423 and 6431.

Prime Factorization of 6423


3 6423
2141 2141
1

Prime factors of 6423 are 3,2141. Prime factorization of 6423 in exponential form is:

6423 = 31×21411

Prime Factorization of 6431


59 6431
109 109
1

Prime factors of 6431 are 59,109. Prime factorization of 6431 in exponential form is:

6431 = 591×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6423 and 6431.

LCM(6423,6431) = 31×591×1091×21411
LCM(6423,6431) = 41306313

Factors of 6423

List of positive integer factors of 6423 that divides 6423 without a remainder.

1, 3, 2141, 6423

Factors of 6431

List of positive integer factors of 6431 that divides 6431 without a remainder.

1, 59, 109, 6431

Least Common Multiple of 6423 and 6431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6423 and 6431, than apply into the LCM equation.

GCF(6423,6431) = 1
LCM(6423,6431) = ( 6423 × 6431) / 1
LCM(6423,6431) = 41306313 / 1
LCM(6423,6431) = 41306313

Properties of LCM 6423 and 6431

(i) The LCM of 6431 and 6423 is associative

LCM of 6423 and 6431 = LCM of 6431 and 6423

Related Least Common Multiples of 6423

Related Least Common Multiples of 6431

Frequently Asked Questions on LCM of 6423 and 6431

1. What is the LCM of 6423 and 6431?

Answer: LCM of 6423 and 6431 is 41306313.

2. What are the Factors of 6423?

Answer: Factors of 6423 are 1, 3, 2141, 6423. There are 4 integers that are factors of 6423. The greatest factor of 6423 is 6423.

3. What are the Factors of 6431?

Answer: Factors of 6431 are 1, 59, 109, 6431. There are 4 integers that are factors of 6431. The greatest factor of 6431 is 6431.

4. How to Find the LCM of 6423 and 6431?

Answer:

Least Common Multiple of 6423 and 6431 = 41306313

Step 1: Find the prime factorization of 6423

6423 = 3 x 2141

Step 2: Find the prime factorization of 6431

6431 = 59 x 109

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

LCM = 41306313 = 3 x 59 x 109 x 2141

Step 4: Therefore, the least common multiple of 6423 and 6431 is 41306313.