Least Common Multiple of 4434 and 4438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4434 and 4438 the smallest integer that is 9839046 that is divisible by both numbers.

Least Common Multiple (LCM) of 4434 and 4438 is 9839046.

LCM(4434,4438) = 9839046

LCM of 4434 and 4438

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

LCM of:
and

Least Common Multiple of 4434 and 4438

LCM of 4434 and 4438 is 9839046

Least common multiple can be found by multiplying the highest exponent prime factors of 4434 and 4438. First we will calculate the prime factors of 4434 and 4438.

Prime Factorization of 4434


2 4434
3 2217
739 739
1

Prime factors of 4434 are 2, 3,739. Prime factorization of 4434 in exponential form is:

4434 = 21×31×7391

Prime Factorization of 4438


2 4438
7 2219
317 317
1

Prime factors of 4438 are 2, 7,317. Prime factorization of 4438 in exponential form is:

4438 = 21×71×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 4434 and 4438.

LCM(4434,4438) = 21×31×71×3171×7391
LCM(4434,4438) = 9839046

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1, 2, 3, 6, 739, 1478, 2217, 4434

Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1, 2, 7, 14, 317, 634, 2219, 4438

Least Common Multiple of 4434 and 4438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4434 and 4438, than apply into the LCM equation.

GCF(4434,4438) = 2
LCM(4434,4438) = ( 4434 × 4438) / 2
LCM(4434,4438) = 19678092 / 2
LCM(4434,4438) = 9839046

Properties of LCM 4434 and 4438

(i) The LCM of 4438 and 4434 is associative

LCM of 4434 and 4438 = LCM of 4438 and 4434

Related Least Common Multiples of 4434

Related Least Common Multiples of 4438

Frequently Asked Questions on LCM of 4434 and 4438

1. What is the LCM of 4434 and 4438?

Answer: LCM of 4434 and 4438 is 9839046.

2. What are the Factors of 4434?

Answer: Factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434. There are 8 integers that are factors of 4434. The greatest factor of 4434 is 4434.

3. What are the Factors of 4438?

Answer: Factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438. There are 8 integers that are factors of 4438. The greatest factor of 4438 is 4438.

4. How to Find the LCM of 4434 and 4438?

Answer:

Least Common Multiple of 4434 and 4438 = 9839046

Step 1: Find the prime factorization of 4434

4434 = 2 x 3 x 739

Step 2: Find the prime factorization of 4438

4438 = 2 x 7 x 317

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

LCM = 9839046 = 2 x 3 x 7 x 317 x 739

Step 4: Therefore, the least common multiple of 4434 and 4438 is 9839046.