Least Common Multiple of 20407 and 20411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20407 and 20411 the smallest integer that is 416527277 that is divisible by both numbers.

Least Common Multiple (LCM) of 20407 and 20411 is 416527277.

LCM(20407,20411) = 416527277

LCM of 20407 and 20411

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

LCM of:
and

Least Common Multiple of 20407 and 20411

LCM of 20407 and 20411 is 416527277

Least common multiple can be found by multiplying the highest exponent prime factors of 20407 and 20411. First we will calculate the prime factors of 20407 and 20411.

Prime Factorization of 20407


20407 20407
1

Prime factors of 20407 are 20407. Prime factorization of 20407 in exponential form is:

20407 = 204071

Prime Factorization of 20411


20411 20411
1

Prime factors of 20411 are 20411. Prime factorization of 20411 in exponential form is:

20411 = 204111

Now multiplying the highest exponent prime factors to calculate the LCM of 20407 and 20411.

LCM(20407,20411) = 204071×204111
LCM(20407,20411) = 416527277

Factors of 20407

List of positive integer factors of 20407 that divides 20407 without a remainder.

1, 20407

Factors of 20411

List of positive integer factors of 20411 that divides 20411 without a remainder.

1, 20411

Least Common Multiple of 20407 and 20411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20407 and 20411, than apply into the LCM equation.

GCF(20407,20411) = 1
LCM(20407,20411) = ( 20407 × 20411) / 1
LCM(20407,20411) = 416527277 / 1
LCM(20407,20411) = 416527277

Properties of LCM 20407 and 20411

(i) The LCM of 20411 and 20407 is associative

LCM of 20407 and 20411 = LCM of 20411 and 20407

Related Least Common Multiples of 20407

Related Least Common Multiples of 20411

Frequently Asked Questions on LCM of 20407 and 20411

1. What is the LCM of 20407 and 20411?

Answer: LCM of 20407 and 20411 is 416527277.

2. What are the Factors of 20407?

Answer: Factors of 20407 are 1, 20407. There are 2 integers that are factors of 20407. The greatest factor of 20407 is 20407.

3. What are the Factors of 20411?

Answer: Factors of 20411 are 1, 20411. There are 2 integers that are factors of 20411. The greatest factor of 20411 is 20411.

4. How to Find the LCM of 20407 and 20411?

Answer:

Least Common Multiple of 20407 and 20411 = 416527277

Step 1: Find the prime factorization of 20407

20407 = 20407

Step 2: Find the prime factorization of 20411

20411 = 20411

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

LCM = 416527277 = 20407 x 20411

Step 4: Therefore, the least common multiple of 20407 and 20411 is 416527277.