Least Common Multiple of 4414 and 4421

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 4421 the smallest integer that is 19514294 that is divisible by both numbers.

Least Common Multiple (LCM) of 4414 and 4421 is 19514294.

LCM(4414,4421) = 19514294

LCM of 4414 and 4421

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

LCM of:
and

Least Common Multiple of 4414 and 4421

LCM of 4414 and 4421 is 19514294

Least common multiple can be found by multiplying the highest exponent prime factors of 4414 and 4421. First we will calculate the prime factors of 4414 and 4421.

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 4421


4421 4421
1

Prime factors of 4421 are 4421. Prime factorization of 4421 in exponential form is:

4421 = 44211

Now multiplying the highest exponent prime factors to calculate the LCM of 4414 and 4421.

LCM(4414,4421) = 21×22071×44211
LCM(4414,4421) = 19514294

Factors of 4414

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

1, 2, 2207, 4414

Factors of 4421

List of positive integer factors of 4421 that divides 4421 without a remainder.

1, 4421

Least Common Multiple of 4414 and 4421 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 4421, than apply into the LCM equation.

GCF(4414,4421) = 1
LCM(4414,4421) = ( 4414 × 4421) / 1
LCM(4414,4421) = 19514294 / 1
LCM(4414,4421) = 19514294

Properties of LCM 4414 and 4421

(i) The LCM of 4421 and 4414 is associative

LCM of 4414 and 4421 = LCM of 4421 and 4414

Related Least Common Multiples of 4414

Related Least Common Multiples of 4421

Frequently Asked Questions on LCM of 4414 and 4421

1. What is the LCM of 4414 and 4421?

Answer: LCM of 4414 and 4421 is 19514294.

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 4421?

Answer: Factors of 4421 are 1, 4421. There are 2 integers that are factors of 4421. The greatest factor of 4421 is 4421.

4. How to Find the LCM of 4414 and 4421?

Answer:

Least Common Multiple of 4414 and 4421 = 19514294

Step 1: Find the prime factorization of 4414

4414 = 2 x 2207

Step 2: Find the prime factorization of 4421

4421 = 4421

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

LCM = 19514294 = 2 x 2207 x 4421

Step 4: Therefore, the least common multiple of 4414 and 4421 is 19514294.