Least Common Multiple of 4422 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 4422 and 4428 the smallest integer that is 3263436 that is divisible by both numbers.

Least Common Multiple (LCM) of 4422 and 4428 is 3263436.

LCM(4422,4428) = 3263436

LCM of 4422 and 4428

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

LCM of:
and

Least Common Multiple of 4422 and 4428

LCM of 4422 and 4428 is 3263436

Least common multiple can be found by multiplying the highest exponent prime factors of 4422 and 4428. First we will calculate the prime factors of 4422 and 4428.

Prime Factorization of 4422


2 4422
3 2211
11 737
67 67
1

Prime factors of 4422 are 2, 3, 11,67. Prime factorization of 4422 in exponential form is:

4422 = 21×31×111×671

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 4422 and 4428.

LCM(4422,4428) = 22×33×111×411×671
LCM(4422,4428) = 3263436

Factors of 4422

List of positive integer factors of 4422 that divides 4422 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422

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 4422 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 4422 and 4428, than apply into the LCM equation.

GCF(4422,4428) = 6
LCM(4422,4428) = ( 4422 × 4428) / 6
LCM(4422,4428) = 19580616 / 6
LCM(4422,4428) = 3263436

Properties of LCM 4422 and 4428

(i) The LCM of 4428 and 4422 is associative

LCM of 4422 and 4428 = LCM of 4428 and 4422

Related Least Common Multiples of 4422

Related Least Common Multiples of 4428

Frequently Asked Questions on LCM of 4422 and 4428

1. What is the LCM of 4422 and 4428?

Answer: LCM of 4422 and 4428 is 3263436.

2. What are the Factors of 4422?

Answer: Factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422. There are 16 integers that are factors of 4422. The greatest factor of 4422 is 4422.

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 4422 and 4428?

Answer:

Least Common Multiple of 4422 and 4428 = 3263436

Step 1: Find the prime factorization of 4422

4422 = 2 x 3 x 11 x 67

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 = 3263436 = 2 x 2 x 3 x 3 x 3 x 11 x 41 x 67

Step 4: Therefore, the least common multiple of 4422 and 4428 is 3263436.