Least Common Multiple of 4414 and 4420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4414 and 4420 the smallest integer that is 9754940 that is divisible by both numbers.

Least Common Multiple (LCM) of 4414 and 4420 is 9754940.

LCM(4414,4420) = 9754940

LCM of 4414 and 4420

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

LCM of:
and

Least Common Multiple of 4414 and 4420

LCM of 4414 and 4420 is 9754940

Least common multiple can be found by multiplying the highest exponent prime factors of 4414 and 4420. First we will calculate the prime factors of 4414 and 4420.

Prime Factorization of 4414


2 4414
2207 2207
1

Prime factors of 4414 are 2,2207. Prime factorization of 4414 in exponential form is:

4414 = 21×22071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4414 and 4420.

LCM(4414,4420) = 22×51×131×171×22071
LCM(4414,4420) = 9754940

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1, 2, 2207, 4414

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

Least Common Multiple of 4414 and 4420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4414 and 4420, than apply into the LCM equation.

GCF(4414,4420) = 2
LCM(4414,4420) = ( 4414 × 4420) / 2
LCM(4414,4420) = 19509880 / 2
LCM(4414,4420) = 9754940

Properties of LCM 4414 and 4420

(i) The LCM of 4420 and 4414 is associative

LCM of 4414 and 4420 = LCM of 4420 and 4414

Related Least Common Multiples of 4414

Related Least Common Multiples of 4420

Frequently Asked Questions on LCM of 4414 and 4420

1. What is the LCM of 4414 and 4420?

Answer: LCM of 4414 and 4420 is 9754940.

2. What are the Factors of 4414?

Answer: Factors of 4414 are 1, 2, 2207, 4414. There are 4 integers that are factors of 4414. The greatest factor of 4414 is 4414.

3. 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.

4. How to Find the LCM of 4414 and 4420?

Answer:

Least Common Multiple of 4414 and 4420 = 9754940

Step 1: Find the prime factorization of 4414

4414 = 2 x 2207

Step 2: Find the prime factorization of 4420

4420 = 2 x 2 x 5 x 13 x 17

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

LCM = 9754940 = 2 x 2 x 5 x 13 x 17 x 2207

Step 4: Therefore, the least common multiple of 4414 and 4420 is 9754940.