Least Common Multiple of 4418 and 4424

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 4424 the smallest integer that is 9772616 that is divisible by both numbers.

Least Common Multiple (LCM) of 4418 and 4424 is 9772616.

LCM(4418,4424) = 9772616

LCM of 4418 and 4424

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

LCM of:
and

Least Common Multiple of 4418 and 4424

LCM of 4418 and 4424 is 9772616

Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4424. First we will calculate the prime factors of 4418 and 4424.

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 4424


2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 4424 are 2, 7,79. Prime factorization of 4424 in exponential form is:

4424 = 23×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4418 and 4424.

LCM(4418,4424) = 23×71×472×791
LCM(4418,4424) = 9772616

Factors of 4418

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

1, 2, 47, 94, 2209, 4418

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424

Least Common Multiple of 4418 and 4424 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 4424, than apply into the LCM equation.

GCF(4418,4424) = 2
LCM(4418,4424) = ( 4418 × 4424) / 2
LCM(4418,4424) = 19545232 / 2
LCM(4418,4424) = 9772616

Properties of LCM 4418 and 4424

(i) The LCM of 4424 and 4418 is associative

LCM of 4418 and 4424 = LCM of 4424 and 4418

Related Least Common Multiples of 4418

Related Least Common Multiples of 4424

Frequently Asked Questions on LCM of 4418 and 4424

1. What is the LCM of 4418 and 4424?

Answer: LCM of 4418 and 4424 is 9772616.

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 4424?

Answer: Factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424. There are 16 integers that are factors of 4424. The greatest factor of 4424 is 4424.

4. How to Find the LCM of 4418 and 4424?

Answer:

Least Common Multiple of 4418 and 4424 = 9772616

Step 1: Find the prime factorization of 4418

4418 = 2 x 47 x 47

Step 2: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

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

LCM = 9772616 = 2 x 2 x 2 x 7 x 47 x 47 x 79

Step 4: Therefore, the least common multiple of 4418 and 4424 is 9772616.