Least Common Multiple of 4428 and 4436

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 4436 the smallest integer that is 4910652 that is divisible by both numbers.

Least Common Multiple (LCM) of 4428 and 4436 is 4910652.

LCM(4428,4436) = 4910652

LCM of 4428 and 4436

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

LCM of:
and

Least Common Multiple of 4428 and 4436

LCM of 4428 and 4436 is 4910652

Least common multiple can be found by multiplying the highest exponent prime factors of 4428 and 4436. First we will calculate the prime factors of 4428 and 4436.

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 4436


2 4436
2 2218
1109 1109
1

Prime factors of 4436 are 2,1109. Prime factorization of 4436 in exponential form is:

4436 = 22×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 4428 and 4436.

LCM(4428,4436) = 22×33×411×11091
LCM(4428,4436) = 4910652

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 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1, 2, 4, 1109, 2218, 4436

Least Common Multiple of 4428 and 4436 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 4436, than apply into the LCM equation.

GCF(4428,4436) = 4
LCM(4428,4436) = ( 4428 × 4436) / 4
LCM(4428,4436) = 19642608 / 4
LCM(4428,4436) = 4910652

Properties of LCM 4428 and 4436

(i) The LCM of 4436 and 4428 is associative

LCM of 4428 and 4436 = LCM of 4436 and 4428

Related Least Common Multiples of 4428

Related Least Common Multiples of 4436

Frequently Asked Questions on LCM of 4428 and 4436

1. What is the LCM of 4428 and 4436?

Answer: LCM of 4428 and 4436 is 4910652.

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 4436?

Answer: Factors of 4436 are 1, 2, 4, 1109, 2218, 4436. There are 6 integers that are factors of 4436. The greatest factor of 4436 is 4436.

4. How to Find the LCM of 4428 and 4436?

Answer:

Least Common Multiple of 4428 and 4436 = 4910652

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 4436

4436 = 2 x 2 x 1109

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

LCM = 4910652 = 2 x 2 x 3 x 3 x 3 x 41 x 1109

Step 4: Therefore, the least common multiple of 4428 and 4436 is 4910652.