Least Common Multiple of 20433 and 20440

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 20440 the smallest integer that is 59664360 that is divisible by both numbers.

Least Common Multiple (LCM) of 20433 and 20440 is 59664360.

LCM(20433,20440) = 59664360

LCM of 20433 and 20440

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

LCM of:
and

Least Common Multiple of 20433 and 20440

LCM of 20433 and 20440 is 59664360

Least common multiple can be found by multiplying the highest exponent prime factors of 20433 and 20440. First we will calculate the prime factors of 20433 and 20440.

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 20440


2 20440
2 10220
2 5110
5 2555
7 511
73 73
1

Prime factors of 20440 are 2, 5, 7,73. Prime factorization of 20440 in exponential form is:

20440 = 23×51×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 20433 and 20440.

LCM(20433,20440) = 23×31×51×72×731×1391
LCM(20433,20440) = 59664360

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 20440

List of positive integer factors of 20440 that divides 20440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 73, 140, 146, 280, 292, 365, 511, 584, 730, 1022, 1460, 2044, 2555, 2920, 4088, 5110, 10220, 20440

Least Common Multiple of 20433 and 20440 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 20440, than apply into the LCM equation.

GCF(20433,20440) = 7
LCM(20433,20440) = ( 20433 × 20440) / 7
LCM(20433,20440) = 417650520 / 7
LCM(20433,20440) = 59664360

Properties of LCM 20433 and 20440

(i) The LCM of 20440 and 20433 is associative

LCM of 20433 and 20440 = LCM of 20440 and 20433

Related Least Common Multiples of 20433

Related Least Common Multiples of 20440

Frequently Asked Questions on LCM of 20433 and 20440

1. What is the LCM of 20433 and 20440?

Answer: LCM of 20433 and 20440 is 59664360.

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 20440?

Answer: Factors of 20440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 73, 140, 146, 280, 292, 365, 511, 584, 730, 1022, 1460, 2044, 2555, 2920, 4088, 5110, 10220, 20440. There are 32 integers that are factors of 20440. The greatest factor of 20440 is 20440.

4. How to Find the LCM of 20433 and 20440?

Answer:

Least Common Multiple of 20433 and 20440 = 59664360

Step 1: Find the prime factorization of 20433

20433 = 3 x 7 x 7 x 139

Step 2: Find the prime factorization of 20440

20440 = 2 x 2 x 2 x 5 x 7 x 73

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

LCM = 59664360 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 73 x 139

Step 4: Therefore, the least common multiple of 20433 and 20440 is 59664360.