Least Common Multiple of 4428 and 4434

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 4434 the smallest integer that is 3272292 that is divisible by both numbers.

Least Common Multiple (LCM) of 4428 and 4434 is 3272292.

LCM(4428,4434) = 3272292

LCM of 4428 and 4434

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

LCM of:
and

Least Common Multiple of 4428 and 4434

LCM of 4428 and 4434 is 3272292

Least common multiple can be found by multiplying the highest exponent prime factors of 4428 and 4434. First we will calculate the prime factors of 4428 and 4434.

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 4434


2 4434
3 2217
739 739
1

Prime factors of 4434 are 2, 3,739. Prime factorization of 4434 in exponential form is:

4434 = 21×31×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 4428 and 4434.

LCM(4428,4434) = 22×33×411×7391
LCM(4428,4434) = 3272292

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 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1, 2, 3, 6, 739, 1478, 2217, 4434

Least Common Multiple of 4428 and 4434 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 4434, than apply into the LCM equation.

GCF(4428,4434) = 6
LCM(4428,4434) = ( 4428 × 4434) / 6
LCM(4428,4434) = 19633752 / 6
LCM(4428,4434) = 3272292

Properties of LCM 4428 and 4434

(i) The LCM of 4434 and 4428 is associative

LCM of 4428 and 4434 = LCM of 4434 and 4428

Related Least Common Multiples of 4428

Related Least Common Multiples of 4434

Frequently Asked Questions on LCM of 4428 and 4434

1. What is the LCM of 4428 and 4434?

Answer: LCM of 4428 and 4434 is 3272292.

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 4434?

Answer: Factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434. There are 8 integers that are factors of 4434. The greatest factor of 4434 is 4434.

4. How to Find the LCM of 4428 and 4434?

Answer:

Least Common Multiple of 4428 and 4434 = 3272292

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 4434

4434 = 2 x 3 x 739

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

LCM = 3272292 = 2 x 2 x 3 x 3 x 3 x 41 x 739

Step 4: Therefore, the least common multiple of 4428 and 4434 is 3272292.