Least Common Multiple of 4435 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 4435 and 4440 the smallest integer that is 3938280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4435 and 4440 is 3938280.

LCM(4435,4440) = 3938280

LCM of 4435 and 4440

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

LCM of:
and

Least Common Multiple of 4435 and 4440

LCM of 4435 and 4440 is 3938280

Least common multiple can be found by multiplying the highest exponent prime factors of 4435 and 4440. First we will calculate the prime factors of 4435 and 4440.

Prime Factorization of 4435


5 4435
887 887
1

Prime factors of 4435 are 5,887. Prime factorization of 4435 in exponential form is:

4435 = 51×8871

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 4435 and 4440.

LCM(4435,4440) = 23×31×51×371×8871
LCM(4435,4440) = 3938280

Factors of 4435

List of positive integer factors of 4435 that divides 4435 without a remainder.

1, 5, 887, 4435

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 4435 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 4435 and 4440, than apply into the LCM equation.

GCF(4435,4440) = 5
LCM(4435,4440) = ( 4435 × 4440) / 5
LCM(4435,4440) = 19691400 / 5
LCM(4435,4440) = 3938280

Properties of LCM 4435 and 4440

(i) The LCM of 4440 and 4435 is associative

LCM of 4435 and 4440 = LCM of 4440 and 4435

Related Least Common Multiples of 4435

Related Least Common Multiples of 4440

Frequently Asked Questions on LCM of 4435 and 4440

1. What is the LCM of 4435 and 4440?

Answer: LCM of 4435 and 4440 is 3938280.

2. What are the Factors of 4435?

Answer: Factors of 4435 are 1, 5, 887, 4435. There are 4 integers that are factors of 4435. The greatest factor of 4435 is 4435.

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 4435 and 4440?

Answer:

Least Common Multiple of 4435 and 4440 = 3938280

Step 1: Find the prime factorization of 4435

4435 = 5 x 887

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 = 3938280 = 2 x 2 x 2 x 3 x 5 x 37 x 887

Step 4: Therefore, the least common multiple of 4435 and 4440 is 3938280.