Least Common Multiple of 20425 and 20433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20425 and 20433 the smallest integer that is 417344025 that is divisible by both numbers.

Least Common Multiple (LCM) of 20425 and 20433 is 417344025.

LCM(20425,20433) = 417344025

LCM of 20425 and 20433

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

LCM of:
and

Least Common Multiple of 20425 and 20433

LCM of 20425 and 20433 is 417344025

Least common multiple can be found by multiplying the highest exponent prime factors of 20425 and 20433. First we will calculate the prime factors of 20425 and 20433.

Prime Factorization of 20425


5 20425
5 4085
19 817
43 43
1

Prime factors of 20425 are 5, 19,43. Prime factorization of 20425 in exponential form is:

20425 = 52×191×431

Prime Factorization of 20433


3 20433
7 6811
7 973
139 139
1

Prime factors of 20433 are 3, 7,139. Prime factorization of 20433 in exponential form is:

20433 = 31×72×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 20425 and 20433.

LCM(20425,20433) = 31×52×72×191×431×1391
LCM(20425,20433) = 417344025

Factors of 20425

List of positive integer factors of 20425 that divides 20425 without a remainder.

1, 5, 19, 25, 43, 95, 215, 475, 817, 1075, 4085, 20425

Factors of 20433

List of positive integer factors of 20433 that divides 20433 without a remainder.

1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433

Least Common Multiple of 20425 and 20433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20425 and 20433, than apply into the LCM equation.

GCF(20425,20433) = 1
LCM(20425,20433) = ( 20425 × 20433) / 1
LCM(20425,20433) = 417344025 / 1
LCM(20425,20433) = 417344025

Properties of LCM 20425 and 20433

(i) The LCM of 20433 and 20425 is associative

LCM of 20425 and 20433 = LCM of 20433 and 20425

Related Least Common Multiples of 20425

Related Least Common Multiples of 20433

Frequently Asked Questions on LCM of 20425 and 20433

1. What is the LCM of 20425 and 20433?

Answer: LCM of 20425 and 20433 is 417344025.

2. What are the Factors of 20425?

Answer: Factors of 20425 are 1, 5, 19, 25, 43, 95, 215, 475, 817, 1075, 4085, 20425. There are 12 integers that are factors of 20425. The greatest factor of 20425 is 20425.

3. What are the Factors of 20433?

Answer: Factors of 20433 are 1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433. There are 12 integers that are factors of 20433. The greatest factor of 20433 is 20433.

4. How to Find the LCM of 20425 and 20433?

Answer:

Least Common Multiple of 20425 and 20433 = 417344025

Step 1: Find the prime factorization of 20425

20425 = 5 x 5 x 19 x 43

Step 2: Find the prime factorization of 20433

20433 = 3 x 7 x 7 x 139

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

LCM = 417344025 = 3 x 5 x 5 x 7 x 7 x 19 x 43 x 139

Step 4: Therefore, the least common multiple of 20425 and 20433 is 417344025.