Least Common Multiple of 4436 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 4436 and 4440 the smallest integer that is 4923960 that is divisible by both numbers.

Least Common Multiple (LCM) of 4436 and 4440 is 4923960.

LCM(4436,4440) = 4923960

LCM of 4436 and 4440

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

LCM of:
and

Least Common Multiple of 4436 and 4440

LCM of 4436 and 4440 is 4923960

Least common multiple can be found by multiplying the highest exponent prime factors of 4436 and 4440. First we will calculate the prime factors of 4436 and 4440.

Prime Factorization of 4436


2 4436
2 2218
1109 1109
1

Prime factors of 4436 are 2,1109. Prime factorization of 4436 in exponential form is:

4436 = 22×11091

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 4436 and 4440.

LCM(4436,4440) = 23×31×51×371×11091
LCM(4436,4440) = 4923960

Factors of 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1, 2, 4, 1109, 2218, 4436

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 4436 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 4436 and 4440, than apply into the LCM equation.

GCF(4436,4440) = 4
LCM(4436,4440) = ( 4436 × 4440) / 4
LCM(4436,4440) = 19695840 / 4
LCM(4436,4440) = 4923960

Properties of LCM 4436 and 4440

(i) The LCM of 4440 and 4436 is associative

LCM of 4436 and 4440 = LCM of 4440 and 4436

Related Least Common Multiples of 4436

Related Least Common Multiples of 4440

Frequently Asked Questions on LCM of 4436 and 4440

1. What is the LCM of 4436 and 4440?

Answer: LCM of 4436 and 4440 is 4923960.

2. What are the Factors of 4436?

Answer: Factors of 4436 are 1, 2, 4, 1109, 2218, 4436. There are 6 integers that are factors of 4436. The greatest factor of 4436 is 4436.

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 4436 and 4440?

Answer:

Least Common Multiple of 4436 and 4440 = 4923960

Step 1: Find the prime factorization of 4436

4436 = 2 x 2 x 1109

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 = 4923960 = 2 x 2 x 2 x 3 x 5 x 37 x 1109

Step 4: Therefore, the least common multiple of 4436 and 4440 is 4923960.