Least Common Multiple of 4424 and 4427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4424 and 4427 the smallest integer that is 19585048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4424 and 4427 is 19585048.

LCM(4424,4427) = 19585048

LCM of 4424 and 4427

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

LCM of:
and

Least Common Multiple of 4424 and 4427

LCM of 4424 and 4427 is 19585048

Least common multiple can be found by multiplying the highest exponent prime factors of 4424 and 4427. First we will calculate the prime factors of 4424 and 4427.

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

Prime Factorization of 4427


19 4427
233 233
1

Prime factors of 4427 are 19,233. Prime factorization of 4427 in exponential form is:

4427 = 191×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4424 and 4427.

LCM(4424,4427) = 23×71×191×791×2331
LCM(4424,4427) = 19585048

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

Factors of 4427

List of positive integer factors of 4427 that divides 4427 without a remainder.

1, 19, 233, 4427

Least Common Multiple of 4424 and 4427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4424 and 4427, than apply into the LCM equation.

GCF(4424,4427) = 1
LCM(4424,4427) = ( 4424 × 4427) / 1
LCM(4424,4427) = 19585048 / 1
LCM(4424,4427) = 19585048

Properties of LCM 4424 and 4427

(i) The LCM of 4427 and 4424 is associative

LCM of 4424 and 4427 = LCM of 4427 and 4424

Related Least Common Multiples of 4424

Related Least Common Multiples of 4427

Frequently Asked Questions on LCM of 4424 and 4427

1. What is the LCM of 4424 and 4427?

Answer: LCM of 4424 and 4427 is 19585048.

2. 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.

3. What are the Factors of 4427?

Answer: Factors of 4427 are 1, 19, 233, 4427. There are 4 integers that are factors of 4427. The greatest factor of 4427 is 4427.

4. How to Find the LCM of 4424 and 4427?

Answer:

Least Common Multiple of 4424 and 4427 = 19585048

Step 1: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

Step 2: Find the prime factorization of 4427

4427 = 19 x 233

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

LCM = 19585048 = 2 x 2 x 2 x 7 x 19 x 79 x 233

Step 4: Therefore, the least common multiple of 4424 and 4427 is 19585048.