Least Common Multiple of 4421 and 4428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4421 and 4428 the smallest integer that is 19576188 that is divisible by both numbers.

Least Common Multiple (LCM) of 4421 and 4428 is 19576188.

LCM(4421,4428) = 19576188

LCM of 4421 and 4428

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

LCM of:
and

Least Common Multiple of 4421 and 4428

LCM of 4421 and 4428 is 19576188

Least common multiple can be found by multiplying the highest exponent prime factors of 4421 and 4428. First we will calculate the prime factors of 4421 and 4428.

Prime Factorization of 4421


4421 4421
1

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

4421 = 44211

Prime Factorization of 4428


2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 4428 are 2, 3,41. Prime factorization of 4428 in exponential form is:

4428 = 22×33×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4421 and 4428.

LCM(4421,4428) = 22×33×411×44211
LCM(4421,4428) = 19576188

Factors of 4421

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

1, 4421

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428

Least Common Multiple of 4421 and 4428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4421 and 4428, than apply into the LCM equation.

GCF(4421,4428) = 1
LCM(4421,4428) = ( 4421 × 4428) / 1
LCM(4421,4428) = 19576188 / 1
LCM(4421,4428) = 19576188

Properties of LCM 4421 and 4428

(i) The LCM of 4428 and 4421 is associative

LCM of 4421 and 4428 = LCM of 4428 and 4421

Related Least Common Multiples of 4421

Related Least Common Multiples of 4428

Frequently Asked Questions on LCM of 4421 and 4428

1. What is the LCM of 4421 and 4428?

Answer: LCM of 4421 and 4428 is 19576188.

2. 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.

3. What are the Factors of 4428?

Answer: Factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428. There are 24 integers that are factors of 4428. The greatest factor of 4428 is 4428.

4. How to Find the LCM of 4421 and 4428?

Answer:

Least Common Multiple of 4421 and 4428 = 19576188

Step 1: Find the prime factorization of 4421

4421 = 4421

Step 2: Find the prime factorization of 4428

4428 = 2 x 2 x 3 x 3 x 3 x 41

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

LCM = 19576188 = 2 x 2 x 3 x 3 x 3 x 41 x 4421

Step 4: Therefore, the least common multiple of 4421 and 4428 is 19576188.