Least Common Multiple of 4425 and 4431

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 4431 the smallest integer that is 6535725 that is divisible by both numbers.

Least Common Multiple (LCM) of 4425 and 4431 is 6535725.

LCM(4425,4431) = 6535725

LCM of 4425 and 4431

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

LCM of:
and

Least Common Multiple of 4425 and 4431

LCM of 4425 and 4431 is 6535725

Least common multiple can be found by multiplying the highest exponent prime factors of 4425 and 4431. First we will calculate the prime factors of 4425 and 4431.

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 4431


3 4431
7 1477
211 211
1

Prime factors of 4431 are 3, 7,211. Prime factorization of 4431 in exponential form is:

4431 = 31×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4425 and 4431.

LCM(4425,4431) = 31×52×71×591×2111
LCM(4425,4431) = 6535725

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 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1, 3, 7, 21, 211, 633, 1477, 4431

Least Common Multiple of 4425 and 4431 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 4431, than apply into the LCM equation.

GCF(4425,4431) = 3
LCM(4425,4431) = ( 4425 × 4431) / 3
LCM(4425,4431) = 19607175 / 3
LCM(4425,4431) = 6535725

Properties of LCM 4425 and 4431

(i) The LCM of 4431 and 4425 is associative

LCM of 4425 and 4431 = LCM of 4431 and 4425

Related Least Common Multiples of 4425

Related Least Common Multiples of 4431

Frequently Asked Questions on LCM of 4425 and 4431

1. What is the LCM of 4425 and 4431?

Answer: LCM of 4425 and 4431 is 6535725.

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 4431?

Answer: Factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431. There are 8 integers that are factors of 4431. The greatest factor of 4431 is 4431.

4. How to Find the LCM of 4425 and 4431?

Answer:

Least Common Multiple of 4425 and 4431 = 6535725

Step 1: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 4431

4431 = 3 x 7 x 211

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

LCM = 6535725 = 3 x 5 x 5 x 7 x 59 x 211

Step 4: Therefore, the least common multiple of 4425 and 4431 is 6535725.