Least Common Multiple of 4425 and 4433

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 4433 the smallest integer that is 19616025 that is divisible by both numbers.

Least Common Multiple (LCM) of 4425 and 4433 is 19616025.

LCM(4425,4433) = 19616025

LCM of 4425 and 4433

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

LCM of:
and

Least Common Multiple of 4425 and 4433

LCM of 4425 and 4433 is 19616025

Least common multiple can be found by multiplying the highest exponent prime factors of 4425 and 4433. First we will calculate the prime factors of 4425 and 4433.

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 4433


11 4433
13 403
31 31
1

Prime factors of 4433 are 11, 13,31. Prime factorization of 4433 in exponential form is:

4433 = 111×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4425 and 4433.

LCM(4425,4433) = 31×52×111×131×311×591
LCM(4425,4433) = 19616025

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 4433

List of positive integer factors of 4433 that divides 4433 without a remainder.

1, 11, 13, 31, 143, 341, 403, 4433

Least Common Multiple of 4425 and 4433 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 4433, than apply into the LCM equation.

GCF(4425,4433) = 1
LCM(4425,4433) = ( 4425 × 4433) / 1
LCM(4425,4433) = 19616025 / 1
LCM(4425,4433) = 19616025

Properties of LCM 4425 and 4433

(i) The LCM of 4433 and 4425 is associative

LCM of 4425 and 4433 = LCM of 4433 and 4425

Related Least Common Multiples of 4425

Related Least Common Multiples of 4433

Frequently Asked Questions on LCM of 4425 and 4433

1. What is the LCM of 4425 and 4433?

Answer: LCM of 4425 and 4433 is 19616025.

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 4433?

Answer: Factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433. There are 8 integers that are factors of 4433. The greatest factor of 4433 is 4433.

4. How to Find the LCM of 4425 and 4433?

Answer:

Least Common Multiple of 4425 and 4433 = 19616025

Step 1: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 4433

4433 = 11 x 13 x 31

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

LCM = 19616025 = 3 x 5 x 5 x 11 x 13 x 31 x 59

Step 4: Therefore, the least common multiple of 4425 and 4433 is 19616025.