Least Common Multiple of 21482 and 21486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21482 and 21486 the smallest integer that is 230781126 that is divisible by both numbers.

Least Common Multiple (LCM) of 21482 and 21486 is 230781126.

LCM(21482,21486) = 230781126

LCM of 21482 and 21486

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

LCM of:
and

Least Common Multiple of 21482 and 21486

LCM of 21482 and 21486 is 230781126

Least common multiple can be found by multiplying the highest exponent prime factors of 21482 and 21486. First we will calculate the prime factors of 21482 and 21486.

Prime Factorization of 21482


2 21482
23 10741
467 467
1

Prime factors of 21482 are 2, 23,467. Prime factorization of 21482 in exponential form is:

21482 = 21×231×4671

Prime Factorization of 21486


2 21486
3 10743
3581 3581
1

Prime factors of 21486 are 2, 3,3581. Prime factorization of 21486 in exponential form is:

21486 = 21×31×35811

Now multiplying the highest exponent prime factors to calculate the LCM of 21482 and 21486.

LCM(21482,21486) = 21×31×231×4671×35811
LCM(21482,21486) = 230781126

Factors of 21482

List of positive integer factors of 21482 that divides 21482 without a remainder.

1, 2, 23, 46, 467, 934, 10741, 21482

Factors of 21486

List of positive integer factors of 21486 that divides 21486 without a remainder.

1, 2, 3, 6, 3581, 7162, 10743, 21486

Least Common Multiple of 21482 and 21486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21482 and 21486, than apply into the LCM equation.

GCF(21482,21486) = 2
LCM(21482,21486) = ( 21482 × 21486) / 2
LCM(21482,21486) = 461562252 / 2
LCM(21482,21486) = 230781126

Properties of LCM 21482 and 21486

(i) The LCM of 21486 and 21482 is associative

LCM of 21482 and 21486 = LCM of 21486 and 21482

Related Least Common Multiples of 21482

Related Least Common Multiples of 21486

Frequently Asked Questions on LCM of 21482 and 21486

1. What is the LCM of 21482 and 21486?

Answer: LCM of 21482 and 21486 is 230781126.

2. What are the Factors of 21482?

Answer: Factors of 21482 are 1, 2, 23, 46, 467, 934, 10741, 21482. There are 8 integers that are factors of 21482. The greatest factor of 21482 is 21482.

3. What are the Factors of 21486?

Answer: Factors of 21486 are 1, 2, 3, 6, 3581, 7162, 10743, 21486. There are 8 integers that are factors of 21486. The greatest factor of 21486 is 21486.

4. How to Find the LCM of 21482 and 21486?

Answer:

Least Common Multiple of 21482 and 21486 = 230781126

Step 1: Find the prime factorization of 21482

21482 = 2 x 23 x 467

Step 2: Find the prime factorization of 21486

21486 = 2 x 3 x 3581

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

LCM = 230781126 = 2 x 3 x 23 x 467 x 3581

Step 4: Therefore, the least common multiple of 21482 and 21486 is 230781126.