Least Common Multiple of 4440 and 4444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4440 and 4444 the smallest integer that is 4932840 that is divisible by both numbers.

Least Common Multiple (LCM) of 4440 and 4444 is 4932840.

LCM(4440,4444) = 4932840

LCM of 4440 and 4444

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

LCM of:
and

Least Common Multiple of 4440 and 4444

LCM of 4440 and 4444 is 4932840

Least common multiple can be found by multiplying the highest exponent prime factors of 4440 and 4444. First we will calculate the prime factors of 4440 and 4444.

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

Prime Factorization of 4444


2 4444
2 2222
11 1111
101 101
1

Prime factors of 4444 are 2, 11,101. Prime factorization of 4444 in exponential form is:

4444 = 22×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4440 and 4444.

LCM(4440,4444) = 23×31×51×111×371×1011
LCM(4440,4444) = 4932840

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

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444

Least Common Multiple of 4440 and 4444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4440 and 4444, than apply into the LCM equation.

GCF(4440,4444) = 4
LCM(4440,4444) = ( 4440 × 4444) / 4
LCM(4440,4444) = 19731360 / 4
LCM(4440,4444) = 4932840

Properties of LCM 4440 and 4444

(i) The LCM of 4444 and 4440 is associative

LCM of 4440 and 4444 = LCM of 4444 and 4440

Related Least Common Multiples of 4440

Related Least Common Multiples of 4444

Frequently Asked Questions on LCM of 4440 and 4444

1. What is the LCM of 4440 and 4444?

Answer: LCM of 4440 and 4444 is 4932840.

2. 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.

3. What are the Factors of 4444?

Answer: Factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444. There are 12 integers that are factors of 4444. The greatest factor of 4444 is 4444.

4. How to Find the LCM of 4440 and 4444?

Answer:

Least Common Multiple of 4440 and 4444 = 4932840

Step 1: Find the prime factorization of 4440

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

Step 2: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

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

LCM = 4932840 = 2 x 2 x 2 x 3 x 5 x 11 x 37 x 101

Step 4: Therefore, the least common multiple of 4440 and 4444 is 4932840.