Least Common Multiple of 4428 and 4432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4428 and 4432 the smallest integer that is 4906224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4428 and 4432 is 4906224.

LCM(4428,4432) = 4906224

LCM of 4428 and 4432

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

LCM of:
and

Least Common Multiple of 4428 and 4432

LCM of 4428 and 4432 is 4906224

Least common multiple can be found by multiplying the highest exponent prime factors of 4428 and 4432. First we will calculate the prime factors of 4428 and 4432.

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

Prime Factorization of 4432


2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 4432 are 2,277. Prime factorization of 4432 in exponential form is:

4432 = 24×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4428 and 4432.

LCM(4428,4432) = 24×33×411×2771
LCM(4428,4432) = 4906224

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

Factors of 4432

List of positive integer factors of 4432 that divides 4432 without a remainder.

1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432

Least Common Multiple of 4428 and 4432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4428 and 4432, than apply into the LCM equation.

GCF(4428,4432) = 4
LCM(4428,4432) = ( 4428 × 4432) / 4
LCM(4428,4432) = 19624896 / 4
LCM(4428,4432) = 4906224

Properties of LCM 4428 and 4432

(i) The LCM of 4432 and 4428 is associative

LCM of 4428 and 4432 = LCM of 4432 and 4428

Related Least Common Multiples of 4428

Related Least Common Multiples of 4432

Frequently Asked Questions on LCM of 4428 and 4432

1. What is the LCM of 4428 and 4432?

Answer: LCM of 4428 and 4432 is 4906224.

2. 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.

3. What are the Factors of 4432?

Answer: Factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432. There are 10 integers that are factors of 4432. The greatest factor of 4432 is 4432.

4. How to Find the LCM of 4428 and 4432?

Answer:

Least Common Multiple of 4428 and 4432 = 4906224

Step 1: Find the prime factorization of 4428

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

Step 2: Find the prime factorization of 4432

4432 = 2 x 2 x 2 x 2 x 277

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

LCM = 4906224 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 41 x 277

Step 4: Therefore, the least common multiple of 4428 and 4432 is 4906224.