Least Common Multiple of 21491 and 21495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21491 and 21495 the smallest integer that is 461949045 that is divisible by both numbers.

Least Common Multiple (LCM) of 21491 and 21495 is 461949045.

LCM(21491,21495) = 461949045

LCM of 21491 and 21495

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

LCM of:
and

Least Common Multiple of 21491 and 21495

LCM of 21491 and 21495 is 461949045

Least common multiple can be found by multiplying the highest exponent prime factors of 21491 and 21495. First we will calculate the prime factors of 21491 and 21495.

Prime Factorization of 21491


21491 21491
1

Prime factors of 21491 are 21491. Prime factorization of 21491 in exponential form is:

21491 = 214911

Prime Factorization of 21495


3 21495
5 7165
1433 1433
1

Prime factors of 21495 are 3, 5,1433. Prime factorization of 21495 in exponential form is:

21495 = 31×51×14331

Now multiplying the highest exponent prime factors to calculate the LCM of 21491 and 21495.

LCM(21491,21495) = 31×51×14331×214911
LCM(21491,21495) = 461949045

Factors of 21491

List of positive integer factors of 21491 that divides 21491 without a remainder.

1, 21491

Factors of 21495

List of positive integer factors of 21495 that divides 21495 without a remainder.

1, 3, 5, 15, 1433, 4299, 7165, 21495

Least Common Multiple of 21491 and 21495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21491 and 21495, than apply into the LCM equation.

GCF(21491,21495) = 1
LCM(21491,21495) = ( 21491 × 21495) / 1
LCM(21491,21495) = 461949045 / 1
LCM(21491,21495) = 461949045

Properties of LCM 21491 and 21495

(i) The LCM of 21495 and 21491 is associative

LCM of 21491 and 21495 = LCM of 21495 and 21491

Related Least Common Multiples of 21491

Related Least Common Multiples of 21495

Frequently Asked Questions on LCM of 21491 and 21495

1. What is the LCM of 21491 and 21495?

Answer: LCM of 21491 and 21495 is 461949045.

2. What are the Factors of 21491?

Answer: Factors of 21491 are 1, 21491. There are 2 integers that are factors of 21491. The greatest factor of 21491 is 21491.

3. What are the Factors of 21495?

Answer: Factors of 21495 are 1, 3, 5, 15, 1433, 4299, 7165, 21495. There are 8 integers that are factors of 21495. The greatest factor of 21495 is 21495.

4. How to Find the LCM of 21491 and 21495?

Answer:

Least Common Multiple of 21491 and 21495 = 461949045

Step 1: Find the prime factorization of 21491

21491 = 21491

Step 2: Find the prime factorization of 21495

21495 = 3 x 5 x 1433

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

LCM = 461949045 = 3 x 5 x 1433 x 21491

Step 4: Therefore, the least common multiple of 21491 and 21495 is 461949045.