Least Common Multiple of 21485 and 21491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21485 and 21491 the smallest integer that is 461734135 that is divisible by both numbers.

Least Common Multiple (LCM) of 21485 and 21491 is 461734135.

LCM(21485,21491) = 461734135

LCM of 21485 and 21491

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

LCM of:
and

Least Common Multiple of 21485 and 21491

LCM of 21485 and 21491 is 461734135

Least common multiple can be found by multiplying the highest exponent prime factors of 21485 and 21491. First we will calculate the prime factors of 21485 and 21491.

Prime Factorization of 21485


5 21485
4297 4297
1

Prime factors of 21485 are 5,4297. Prime factorization of 21485 in exponential form is:

21485 = 51×42971

Prime Factorization of 21491


21491 21491
1

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

21491 = 214911

Now multiplying the highest exponent prime factors to calculate the LCM of 21485 and 21491.

LCM(21485,21491) = 51×42971×214911
LCM(21485,21491) = 461734135

Factors of 21485

List of positive integer factors of 21485 that divides 21485 without a remainder.

1, 5, 4297, 21485

Factors of 21491

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

1, 21491

Least Common Multiple of 21485 and 21491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21485 and 21491, than apply into the LCM equation.

GCF(21485,21491) = 1
LCM(21485,21491) = ( 21485 × 21491) / 1
LCM(21485,21491) = 461734135 / 1
LCM(21485,21491) = 461734135

Properties of LCM 21485 and 21491

(i) The LCM of 21491 and 21485 is associative

LCM of 21485 and 21491 = LCM of 21491 and 21485

Related Least Common Multiples of 21485

Related Least Common Multiples of 21491

Frequently Asked Questions on LCM of 21485 and 21491

1. What is the LCM of 21485 and 21491?

Answer: LCM of 21485 and 21491 is 461734135.

2. What are the Factors of 21485?

Answer: Factors of 21485 are 1, 5, 4297, 21485. There are 4 integers that are factors of 21485. The greatest factor of 21485 is 21485.

3. 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.

4. How to Find the LCM of 21485 and 21491?

Answer:

Least Common Multiple of 21485 and 21491 = 461734135

Step 1: Find the prime factorization of 21485

21485 = 5 x 4297

Step 2: Find the prime factorization of 21491

21491 = 21491

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

LCM = 461734135 = 5 x 4297 x 21491

Step 4: Therefore, the least common multiple of 21485 and 21491 is 461734135.