Least Common Multiple of 20420 and 20425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20420 and 20425 the smallest integer that is 83415700 that is divisible by both numbers.

Least Common Multiple (LCM) of 20420 and 20425 is 83415700.

LCM(20420,20425) = 83415700

LCM of 20420 and 20425

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

LCM of:
and

Least Common Multiple of 20420 and 20425

LCM of 20420 and 20425 is 83415700

Least common multiple can be found by multiplying the highest exponent prime factors of 20420 and 20425. First we will calculate the prime factors of 20420 and 20425.

Prime Factorization of 20420


2 20420
2 10210
5 5105
1021 1021
1

Prime factors of 20420 are 2, 5,1021. Prime factorization of 20420 in exponential form is:

20420 = 22×51×10211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 20420 and 20425.

LCM(20420,20425) = 22×52×191×431×10211
LCM(20420,20425) = 83415700

Factors of 20420

List of positive integer factors of 20420 that divides 20420 without a remainder.

1, 2, 4, 5, 10, 20, 1021, 2042, 4084, 5105, 10210, 20420

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

Least Common Multiple of 20420 and 20425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20420 and 20425, than apply into the LCM equation.

GCF(20420,20425) = 5
LCM(20420,20425) = ( 20420 × 20425) / 5
LCM(20420,20425) = 417078500 / 5
LCM(20420,20425) = 83415700

Properties of LCM 20420 and 20425

(i) The LCM of 20425 and 20420 is associative

LCM of 20420 and 20425 = LCM of 20425 and 20420

Related Least Common Multiples of 20420

Related Least Common Multiples of 20425

Frequently Asked Questions on LCM of 20420 and 20425

1. What is the LCM of 20420 and 20425?

Answer: LCM of 20420 and 20425 is 83415700.

2. What are the Factors of 20420?

Answer: Factors of 20420 are 1, 2, 4, 5, 10, 20, 1021, 2042, 4084, 5105, 10210, 20420. There are 12 integers that are factors of 20420. The greatest factor of 20420 is 20420.

3. 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.

4. How to Find the LCM of 20420 and 20425?

Answer:

Least Common Multiple of 20420 and 20425 = 83415700

Step 1: Find the prime factorization of 20420

20420 = 2 x 2 x 5 x 1021

Step 2: Find the prime factorization of 20425

20425 = 5 x 5 x 19 x 43

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

LCM = 83415700 = 2 x 2 x 5 x 5 x 19 x 43 x 1021

Step 4: Therefore, the least common multiple of 20420 and 20425 is 83415700.