Least Common Multiple of 4420 and 4426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4420 and 4426 the smallest integer that is 9781460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4420 and 4426 is 9781460.

LCM(4420,4426) = 9781460

LCM of 4420 and 4426

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

LCM of:
and

Least Common Multiple of 4420 and 4426

LCM of 4420 and 4426 is 9781460

Least common multiple can be found by multiplying the highest exponent prime factors of 4420 and 4426. First we will calculate the prime factors of 4420 and 4426.

Prime Factorization of 4420


2 4420
2 2210
5 1105
13 221
17 17
1

Prime factors of 4420 are 2, 5, 13,17. Prime factorization of 4420 in exponential form is:

4420 = 22×51×131×171

Prime Factorization of 4426


2 4426
2213 2213
1

Prime factors of 4426 are 2,2213. Prime factorization of 4426 in exponential form is:

4426 = 21×22131

Now multiplying the highest exponent prime factors to calculate the LCM of 4420 and 4426.

LCM(4420,4426) = 22×51×131×171×22131
LCM(4420,4426) = 9781460

Factors of 4420

List of positive integer factors of 4420 that divides 4420 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420

Factors of 4426

List of positive integer factors of 4426 that divides 4426 without a remainder.

1, 2, 2213, 4426

Least Common Multiple of 4420 and 4426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4420 and 4426, than apply into the LCM equation.

GCF(4420,4426) = 2
LCM(4420,4426) = ( 4420 × 4426) / 2
LCM(4420,4426) = 19562920 / 2
LCM(4420,4426) = 9781460

Properties of LCM 4420 and 4426

(i) The LCM of 4426 and 4420 is associative

LCM of 4420 and 4426 = LCM of 4426 and 4420

Related Least Common Multiples of 4420

Related Least Common Multiples of 4426

Frequently Asked Questions on LCM of 4420 and 4426

1. What is the LCM of 4420 and 4426?

Answer: LCM of 4420 and 4426 is 9781460.

2. What are the Factors of 4420?

Answer: Factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420. There are 24 integers that are factors of 4420. The greatest factor of 4420 is 4420.

3. What are the Factors of 4426?

Answer: Factors of 4426 are 1, 2, 2213, 4426. There are 4 integers that are factors of 4426. The greatest factor of 4426 is 4426.

4. How to Find the LCM of 4420 and 4426?

Answer:

Least Common Multiple of 4420 and 4426 = 9781460

Step 1: Find the prime factorization of 4420

4420 = 2 x 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 4426

4426 = 2 x 2213

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

LCM = 9781460 = 2 x 2 x 5 x 13 x 17 x 2213

Step 4: Therefore, the least common multiple of 4420 and 4426 is 9781460.