Least Common Multiple of 4408 and 4412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4408 and 4412 the smallest integer that is 4862024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4408 and 4412 is 4862024.

LCM(4408,4412) = 4862024

LCM of 4408 and 4412

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

LCM of:
and

Least Common Multiple of 4408 and 4412

LCM of 4408 and 4412 is 4862024

Least common multiple can be found by multiplying the highest exponent prime factors of 4408 and 4412. First we will calculate the prime factors of 4408 and 4412.

Prime Factorization of 4408


2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 4408 are 2, 19,29. Prime factorization of 4408 in exponential form is:

4408 = 23×191×291

Prime Factorization of 4412


2 4412
2 2206
1103 1103
1

Prime factors of 4412 are 2,1103. Prime factorization of 4412 in exponential form is:

4412 = 22×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 4408 and 4412.

LCM(4408,4412) = 23×191×291×11031
LCM(4408,4412) = 4862024

Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408

Factors of 4412

List of positive integer factors of 4412 that divides 4412 without a remainder.

1, 2, 4, 1103, 2206, 4412

Least Common Multiple of 4408 and 4412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4408 and 4412, than apply into the LCM equation.

GCF(4408,4412) = 4
LCM(4408,4412) = ( 4408 × 4412) / 4
LCM(4408,4412) = 19448096 / 4
LCM(4408,4412) = 4862024

Properties of LCM 4408 and 4412

(i) The LCM of 4412 and 4408 is associative

LCM of 4408 and 4412 = LCM of 4412 and 4408

Related Least Common Multiples of 4408

Related Least Common Multiples of 4412

Frequently Asked Questions on LCM of 4408 and 4412

1. What is the LCM of 4408 and 4412?

Answer: LCM of 4408 and 4412 is 4862024.

2. What are the Factors of 4408?

Answer: Factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. There are 16 integers that are factors of 4408. The greatest factor of 4408 is 4408.

3. What are the Factors of 4412?

Answer: Factors of 4412 are 1, 2, 4, 1103, 2206, 4412. There are 6 integers that are factors of 4412. The greatest factor of 4412 is 4412.

4. How to Find the LCM of 4408 and 4412?

Answer:

Least Common Multiple of 4408 and 4412 = 4862024

Step 1: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

Step 2: Find the prime factorization of 4412

4412 = 2 x 2 x 1103

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

LCM = 4862024 = 2 x 2 x 2 x 19 x 29 x 1103

Step 4: Therefore, the least common multiple of 4408 and 4412 is 4862024.