Least Common Multiple of 4418 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 4418 and 4426 the smallest integer that is 9777034 that is divisible by both numbers.

Least Common Multiple (LCM) of 4418 and 4426 is 9777034.

LCM(4418,4426) = 9777034

LCM of 4418 and 4426

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

LCM of:
and

Least Common Multiple of 4418 and 4426

LCM of 4418 and 4426 is 9777034

Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4426. First we will calculate the prime factors of 4418 and 4426.

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 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 4418 and 4426.

LCM(4418,4426) = 21×472×22131
LCM(4418,4426) = 9777034

Factors of 4418

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

1, 2, 47, 94, 2209, 4418

Factors of 4426

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

1, 2, 2213, 4426

Least Common Multiple of 4418 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 4418 and 4426, than apply into the LCM equation.

GCF(4418,4426) = 2
LCM(4418,4426) = ( 4418 × 4426) / 2
LCM(4418,4426) = 19554068 / 2
LCM(4418,4426) = 9777034

Properties of LCM 4418 and 4426

(i) The LCM of 4426 and 4418 is associative

LCM of 4418 and 4426 = LCM of 4426 and 4418

Related Least Common Multiples of 4418

Related Least Common Multiples of 4426

Frequently Asked Questions on LCM of 4418 and 4426

1. What is the LCM of 4418 and 4426?

Answer: LCM of 4418 and 4426 is 9777034.

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 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 4418 and 4426?

Answer:

Least Common Multiple of 4418 and 4426 = 9777034

Step 1: Find the prime factorization of 4418

4418 = 2 x 47 x 47

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 = 9777034 = 2 x 47 x 47 x 2213

Step 4: Therefore, the least common multiple of 4418 and 4426 is 9777034.