Least Common Multiple of 4434 and 4440

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 4440 the smallest integer that is 3281160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4434 and 4440 is 3281160.

LCM(4434,4440) = 3281160

LCM of 4434 and 4440

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

LCM of:
and

Least Common Multiple of 4434 and 4440

LCM of 4434 and 4440 is 3281160

Least common multiple can be found by multiplying the highest exponent prime factors of 4434 and 4440. First we will calculate the prime factors of 4434 and 4440.

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 4440


2 4440
2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 4440 are 2, 3, 5,37. Prime factorization of 4440 in exponential form is:

4440 = 23×31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4434 and 4440.

LCM(4434,4440) = 23×31×51×371×7391
LCM(4434,4440) = 3281160

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 4440

List of positive integer factors of 4440 that divides 4440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440

Least Common Multiple of 4434 and 4440 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 4440, than apply into the LCM equation.

GCF(4434,4440) = 6
LCM(4434,4440) = ( 4434 × 4440) / 6
LCM(4434,4440) = 19686960 / 6
LCM(4434,4440) = 3281160

Properties of LCM 4434 and 4440

(i) The LCM of 4440 and 4434 is associative

LCM of 4434 and 4440 = LCM of 4440 and 4434

Related Least Common Multiples of 4434

Related Least Common Multiples of 4440

Frequently Asked Questions on LCM of 4434 and 4440

1. What is the LCM of 4434 and 4440?

Answer: LCM of 4434 and 4440 is 3281160.

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 4440?

Answer: Factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440. There are 32 integers that are factors of 4440. The greatest factor of 4440 is 4440.

4. How to Find the LCM of 4434 and 4440?

Answer:

Least Common Multiple of 4434 and 4440 = 3281160

Step 1: Find the prime factorization of 4434

4434 = 2 x 3 x 739

Step 2: Find the prime factorization of 4440

4440 = 2 x 2 x 2 x 3 x 5 x 37

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

LCM = 3281160 = 2 x 2 x 2 x 3 x 5 x 37 x 739

Step 4: Therefore, the least common multiple of 4434 and 4440 is 3281160.