Least Common Multiple of 20433 and 20439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20433 and 20439 the smallest integer that is 139210029 that is divisible by both numbers.

Least Common Multiple (LCM) of 20433 and 20439 is 139210029.

LCM(20433,20439) = 139210029

LCM of 20433 and 20439

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

LCM of:
and

Least Common Multiple of 20433 and 20439

LCM of 20433 and 20439 is 139210029

Least common multiple can be found by multiplying the highest exponent prime factors of 20433 and 20439. First we will calculate the prime factors of 20433 and 20439.

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

Prime Factorization of 20439


3 20439
3 6813
3 2271
757 757
1

Prime factors of 20439 are 3,757. Prime factorization of 20439 in exponential form is:

20439 = 33×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 20433 and 20439.

LCM(20433,20439) = 33×72×1391×7571
LCM(20433,20439) = 139210029

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

Factors of 20439

List of positive integer factors of 20439 that divides 20439 without a remainder.

1, 3, 9, 27, 757, 2271, 6813, 20439

Least Common Multiple of 20433 and 20439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20433 and 20439, than apply into the LCM equation.

GCF(20433,20439) = 3
LCM(20433,20439) = ( 20433 × 20439) / 3
LCM(20433,20439) = 417630087 / 3
LCM(20433,20439) = 139210029

Properties of LCM 20433 and 20439

(i) The LCM of 20439 and 20433 is associative

LCM of 20433 and 20439 = LCM of 20439 and 20433

Related Least Common Multiples of 20433

Related Least Common Multiples of 20439

Frequently Asked Questions on LCM of 20433 and 20439

1. What is the LCM of 20433 and 20439?

Answer: LCM of 20433 and 20439 is 139210029.

2. 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.

3. What are the Factors of 20439?

Answer: Factors of 20439 are 1, 3, 9, 27, 757, 2271, 6813, 20439. There are 8 integers that are factors of 20439. The greatest factor of 20439 is 20439.

4. How to Find the LCM of 20433 and 20439?

Answer:

Least Common Multiple of 20433 and 20439 = 139210029

Step 1: Find the prime factorization of 20433

20433 = 3 x 7 x 7 x 139

Step 2: Find the prime factorization of 20439

20439 = 3 x 3 x 3 x 757

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

LCM = 139210029 = 3 x 3 x 3 x 7 x 7 x 139 x 757

Step 4: Therefore, the least common multiple of 20433 and 20439 is 139210029.