Least Common Multiple of 4424 and 4429

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 4429 the smallest integer that is 19593896 that is divisible by both numbers.

Least Common Multiple (LCM) of 4424 and 4429 is 19593896.

LCM(4424,4429) = 19593896

LCM of 4424 and 4429

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

LCM of:
and

Least Common Multiple of 4424 and 4429

LCM of 4424 and 4429 is 19593896

Least common multiple can be found by multiplying the highest exponent prime factors of 4424 and 4429. First we will calculate the prime factors of 4424 and 4429.

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 4429


43 4429
103 103
1

Prime factors of 4429 are 43,103. Prime factorization of 4429 in exponential form is:

4429 = 431×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4424 and 4429.

LCM(4424,4429) = 23×71×431×791×1031
LCM(4424,4429) = 19593896

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 4429

List of positive integer factors of 4429 that divides 4429 without a remainder.

1, 43, 103, 4429

Least Common Multiple of 4424 and 4429 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 4429, than apply into the LCM equation.

GCF(4424,4429) = 1
LCM(4424,4429) = ( 4424 × 4429) / 1
LCM(4424,4429) = 19593896 / 1
LCM(4424,4429) = 19593896

Properties of LCM 4424 and 4429

(i) The LCM of 4429 and 4424 is associative

LCM of 4424 and 4429 = LCM of 4429 and 4424

Related Least Common Multiples of 4424

Related Least Common Multiples of 4429

Frequently Asked Questions on LCM of 4424 and 4429

1. What is the LCM of 4424 and 4429?

Answer: LCM of 4424 and 4429 is 19593896.

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 4429?

Answer: Factors of 4429 are 1, 43, 103, 4429. There are 4 integers that are factors of 4429. The greatest factor of 4429 is 4429.

4. How to Find the LCM of 4424 and 4429?

Answer:

Least Common Multiple of 4424 and 4429 = 19593896

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 4429

4429 = 43 x 103

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

LCM = 19593896 = 2 x 2 x 2 x 7 x 43 x 79 x 103

Step 4: Therefore, the least common multiple of 4424 and 4429 is 19593896.