Least Common Multiple of 4418 and 4423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4418 and 4423 the smallest integer that is 19540814 that is divisible by both numbers.

Least Common Multiple (LCM) of 4418 and 4423 is 19540814.

LCM(4418,4423) = 19540814

LCM of 4418 and 4423

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

LCM of:
and

Least Common Multiple of 4418 and 4423

LCM of 4418 and 4423 is 19540814

Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4423. First we will calculate the prime factors of 4418 and 4423.

Prime Factorization of 4418


2 4418
47 2209
47 47
1

Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:

4418 = 21×472

Prime Factorization of 4423


4423 4423
1

Prime factors of 4423 are 4423. Prime factorization of 4423 in exponential form is:

4423 = 44231

Now multiplying the highest exponent prime factors to calculate the LCM of 4418 and 4423.

LCM(4418,4423) = 21×472×44231
LCM(4418,4423) = 19540814

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1, 2, 47, 94, 2209, 4418

Factors of 4423

List of positive integer factors of 4423 that divides 4423 without a remainder.

1, 4423

Least Common Multiple of 4418 and 4423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4418 and 4423, than apply into the LCM equation.

GCF(4418,4423) = 1
LCM(4418,4423) = ( 4418 × 4423) / 1
LCM(4418,4423) = 19540814 / 1
LCM(4418,4423) = 19540814

Properties of LCM 4418 and 4423

(i) The LCM of 4423 and 4418 is associative

LCM of 4418 and 4423 = LCM of 4423 and 4418

Related Least Common Multiples of 4418

Related Least Common Multiples of 4423

Frequently Asked Questions on LCM of 4418 and 4423

1. What is the LCM of 4418 and 4423?

Answer: LCM of 4418 and 4423 is 19540814.

2. What are the Factors of 4418?

Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.

3. What are the Factors of 4423?

Answer: Factors of 4423 are 1, 4423. There are 2 integers that are factors of 4423. The greatest factor of 4423 is 4423.

4. How to Find the LCM of 4418 and 4423?

Answer:

Least Common Multiple of 4418 and 4423 = 19540814

Step 1: Find the prime factorization of 4418

4418 = 2 x 47 x 47

Step 2: Find the prime factorization of 4423

4423 = 4423

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

LCM = 19540814 = 2 x 47 x 47 x 4423

Step 4: Therefore, the least common multiple of 4418 and 4423 is 19540814.