Least Common Multiple of 21486 and 21493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21486 and 21493 the smallest integer that is 461798598 that is divisible by both numbers.

Least Common Multiple (LCM) of 21486 and 21493 is 461798598.

LCM(21486,21493) = 461798598

LCM of 21486 and 21493

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

LCM of:
and

Least Common Multiple of 21486 and 21493

LCM of 21486 and 21493 is 461798598

Least common multiple can be found by multiplying the highest exponent prime factors of 21486 and 21493. First we will calculate the prime factors of 21486 and 21493.

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

Prime Factorization of 21493


21493 21493
1

Prime factors of 21493 are 21493. Prime factorization of 21493 in exponential form is:

21493 = 214931

Now multiplying the highest exponent prime factors to calculate the LCM of 21486 and 21493.

LCM(21486,21493) = 21×31×35811×214931
LCM(21486,21493) = 461798598

Factors of 21486

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

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

Factors of 21493

List of positive integer factors of 21493 that divides 21493 without a remainder.

1, 21493

Least Common Multiple of 21486 and 21493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21486 and 21493, than apply into the LCM equation.

GCF(21486,21493) = 1
LCM(21486,21493) = ( 21486 × 21493) / 1
LCM(21486,21493) = 461798598 / 1
LCM(21486,21493) = 461798598

Properties of LCM 21486 and 21493

(i) The LCM of 21493 and 21486 is associative

LCM of 21486 and 21493 = LCM of 21493 and 21486

Related Least Common Multiples of 21486

Related Least Common Multiples of 21493

Frequently Asked Questions on LCM of 21486 and 21493

1. What is the LCM of 21486 and 21493?

Answer: LCM of 21486 and 21493 is 461798598.

2. 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.

3. What are the Factors of 21493?

Answer: Factors of 21493 are 1, 21493. There are 2 integers that are factors of 21493. The greatest factor of 21493 is 21493.

4. How to Find the LCM of 21486 and 21493?

Answer:

Least Common Multiple of 21486 and 21493 = 461798598

Step 1: Find the prime factorization of 21486

21486 = 2 x 3 x 3581

Step 2: Find the prime factorization of 21493

21493 = 21493

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

LCM = 461798598 = 2 x 3 x 3581 x 21493

Step 4: Therefore, the least common multiple of 21486 and 21493 is 461798598.