Least Common Multiple of 4420 and 4427

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 4427 the smallest integer that is 19567340 that is divisible by both numbers.

Least Common Multiple (LCM) of 4420 and 4427 is 19567340.

LCM(4420,4427) = 19567340

LCM of 4420 and 4427

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

LCM of:
and

Least Common Multiple of 4420 and 4427

LCM of 4420 and 4427 is 19567340

Least common multiple can be found by multiplying the highest exponent prime factors of 4420 and 4427. First we will calculate the prime factors of 4420 and 4427.

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 4427


19 4427
233 233
1

Prime factors of 4427 are 19,233. Prime factorization of 4427 in exponential form is:

4427 = 191×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4420 and 4427.

LCM(4420,4427) = 22×51×131×171×191×2331
LCM(4420,4427) = 19567340

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 4427

List of positive integer factors of 4427 that divides 4427 without a remainder.

1, 19, 233, 4427

Least Common Multiple of 4420 and 4427 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 4427, than apply into the LCM equation.

GCF(4420,4427) = 1
LCM(4420,4427) = ( 4420 × 4427) / 1
LCM(4420,4427) = 19567340 / 1
LCM(4420,4427) = 19567340

Properties of LCM 4420 and 4427

(i) The LCM of 4427 and 4420 is associative

LCM of 4420 and 4427 = LCM of 4427 and 4420

Related Least Common Multiples of 4420

Related Least Common Multiples of 4427

Frequently Asked Questions on LCM of 4420 and 4427

1. What is the LCM of 4420 and 4427?

Answer: LCM of 4420 and 4427 is 19567340.

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 4427?

Answer: Factors of 4427 are 1, 19, 233, 4427. There are 4 integers that are factors of 4427. The greatest factor of 4427 is 4427.

4. How to Find the LCM of 4420 and 4427?

Answer:

Least Common Multiple of 4420 and 4427 = 19567340

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 4427

4427 = 19 x 233

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

LCM = 19567340 = 2 x 2 x 5 x 13 x 17 x 19 x 233

Step 4: Therefore, the least common multiple of 4420 and 4427 is 19567340.