Least Common Multiple of 20425 and 20432

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 20432 the smallest integer that is 417323600 that is divisible by both numbers.

Least Common Multiple (LCM) of 20425 and 20432 is 417323600.

LCM(20425,20432) = 417323600

LCM of 20425 and 20432

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

LCM of:
and

Least Common Multiple of 20425 and 20432

LCM of 20425 and 20432 is 417323600

Least common multiple can be found by multiplying the highest exponent prime factors of 20425 and 20432. First we will calculate the prime factors of 20425 and 20432.

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 20432


2 20432
2 10216
2 5108
2 2554
1277 1277
1

Prime factors of 20432 are 2,1277. Prime factorization of 20432 in exponential form is:

20432 = 24×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 20425 and 20432.

LCM(20425,20432) = 24×52×191×431×12771
LCM(20425,20432) = 417323600

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 20432

List of positive integer factors of 20432 that divides 20432 without a remainder.

1, 2, 4, 8, 16, 1277, 2554, 5108, 10216, 20432

Least Common Multiple of 20425 and 20432 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 20432, than apply into the LCM equation.

GCF(20425,20432) = 1
LCM(20425,20432) = ( 20425 × 20432) / 1
LCM(20425,20432) = 417323600 / 1
LCM(20425,20432) = 417323600

Properties of LCM 20425 and 20432

(i) The LCM of 20432 and 20425 is associative

LCM of 20425 and 20432 = LCM of 20432 and 20425

Related Least Common Multiples of 20425

Related Least Common Multiples of 20432

Frequently Asked Questions on LCM of 20425 and 20432

1. What is the LCM of 20425 and 20432?

Answer: LCM of 20425 and 20432 is 417323600.

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 20432?

Answer: Factors of 20432 are 1, 2, 4, 8, 16, 1277, 2554, 5108, 10216, 20432. There are 10 integers that are factors of 20432. The greatest factor of 20432 is 20432.

4. How to Find the LCM of 20425 and 20432?

Answer:

Least Common Multiple of 20425 and 20432 = 417323600

Step 1: Find the prime factorization of 20425

20425 = 5 x 5 x 19 x 43

Step 2: Find the prime factorization of 20432

20432 = 2 x 2 x 2 x 2 x 1277

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

LCM = 417323600 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 43 x 1277

Step 4: Therefore, the least common multiple of 20425 and 20432 is 417323600.