Least Common Multiple of 4424 and 4431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4424 and 4431 the smallest integer that is 2800392 that is divisible by both numbers.

Least Common Multiple (LCM) of 4424 and 4431 is 2800392.

LCM(4424,4431) = 2800392

LCM of 4424 and 4431

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

LCM of:
and

Least Common Multiple of 4424 and 4431

LCM of 4424 and 4431 is 2800392

Least common multiple can be found by multiplying the highest exponent prime factors of 4424 and 4431. First we will calculate the prime factors of 4424 and 4431.

Prime Factorization of 4424


2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 4424 are 2, 7,79. Prime factorization of 4424 in exponential form is:

4424 = 23×71×791

Prime Factorization of 4431


3 4431
7 1477
211 211
1

Prime factors of 4431 are 3, 7,211. Prime factorization of 4431 in exponential form is:

4431 = 31×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4424 and 4431.

LCM(4424,4431) = 23×31×71×791×2111
LCM(4424,4431) = 2800392

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424

Factors of 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1, 3, 7, 21, 211, 633, 1477, 4431

Least Common Multiple of 4424 and 4431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4424 and 4431, than apply into the LCM equation.

GCF(4424,4431) = 7
LCM(4424,4431) = ( 4424 × 4431) / 7
LCM(4424,4431) = 19602744 / 7
LCM(4424,4431) = 2800392

Properties of LCM 4424 and 4431

(i) The LCM of 4431 and 4424 is associative

LCM of 4424 and 4431 = LCM of 4431 and 4424

Related Least Common Multiples of 4424

Related Least Common Multiples of 4431

Frequently Asked Questions on LCM of 4424 and 4431

1. What is the LCM of 4424 and 4431?

Answer: LCM of 4424 and 4431 is 2800392.

2. What are the Factors of 4424?

Answer: Factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424. There are 16 integers that are factors of 4424. The greatest factor of 4424 is 4424.

3. What are the Factors of 4431?

Answer: Factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431. There are 8 integers that are factors of 4431. The greatest factor of 4431 is 4431.

4. How to Find the LCM of 4424 and 4431?

Answer:

Least Common Multiple of 4424 and 4431 = 2800392

Step 1: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

Step 2: Find the prime factorization of 4431

4431 = 3 x 7 x 211

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

LCM = 2800392 = 2 x 2 x 2 x 3 x 7 x 79 x 211

Step 4: Therefore, the least common multiple of 4424 and 4431 is 2800392.