Least Common Multiple of 4425 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 4425 and 4428 the smallest integer that is 6531300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4425 and 4428 is 6531300.

LCM(4425,4428) = 6531300

LCM of 4425 and 4428

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

LCM of:
and

Least Common Multiple of 4425 and 4428

LCM of 4425 and 4428 is 6531300

Least common multiple can be found by multiplying the highest exponent prime factors of 4425 and 4428. First we will calculate the prime factors of 4425 and 4428.

Prime Factorization of 4425


3 4425
5 1475
5 295
59 59
1

Prime factors of 4425 are 3, 5,59. Prime factorization of 4425 in exponential form is:

4425 = 31×52×591

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 4425 and 4428.

LCM(4425,4428) = 22×33×52×411×591
LCM(4425,4428) = 6531300

Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425

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 4425 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 4425 and 4428, than apply into the LCM equation.

GCF(4425,4428) = 3
LCM(4425,4428) = ( 4425 × 4428) / 3
LCM(4425,4428) = 19593900 / 3
LCM(4425,4428) = 6531300

Properties of LCM 4425 and 4428

(i) The LCM of 4428 and 4425 is associative

LCM of 4425 and 4428 = LCM of 4428 and 4425

Related Least Common Multiples of 4425

Related Least Common Multiples of 4428

Frequently Asked Questions on LCM of 4425 and 4428

1. What is the LCM of 4425 and 4428?

Answer: LCM of 4425 and 4428 is 6531300.

2. What are the Factors of 4425?

Answer: Factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425. There are 12 integers that are factors of 4425. The greatest factor of 4425 is 4425.

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 4425 and 4428?

Answer:

Least Common Multiple of 4425 and 4428 = 6531300

Step 1: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

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 = 6531300 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 41 x 59

Step 4: Therefore, the least common multiple of 4425 and 4428 is 6531300.