Least Common Multiple of 21486 and 21490

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 21490 the smallest integer that is 230867070 that is divisible by both numbers.

Least Common Multiple (LCM) of 21486 and 21490 is 230867070.

LCM(21486,21490) = 230867070

LCM of 21486 and 21490

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

LCM of:
and

Least Common Multiple of 21486 and 21490

LCM of 21486 and 21490 is 230867070

Least common multiple can be found by multiplying the highest exponent prime factors of 21486 and 21490. First we will calculate the prime factors of 21486 and 21490.

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 21490


2 21490
5 10745
7 2149
307 307
1

Prime factors of 21490 are 2, 5, 7,307. Prime factorization of 21490 in exponential form is:

21490 = 21×51×71×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 21486 and 21490.

LCM(21486,21490) = 21×31×51×71×3071×35811
LCM(21486,21490) = 230867070

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 21490

List of positive integer factors of 21490 that divides 21490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745, 21490

Least Common Multiple of 21486 and 21490 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 21490, than apply into the LCM equation.

GCF(21486,21490) = 2
LCM(21486,21490) = ( 21486 × 21490) / 2
LCM(21486,21490) = 461734140 / 2
LCM(21486,21490) = 230867070

Properties of LCM 21486 and 21490

(i) The LCM of 21490 and 21486 is associative

LCM of 21486 and 21490 = LCM of 21490 and 21486

Related Least Common Multiples of 21486

Related Least Common Multiples of 21490

Frequently Asked Questions on LCM of 21486 and 21490

1. What is the LCM of 21486 and 21490?

Answer: LCM of 21486 and 21490 is 230867070.

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 21490?

Answer: Factors of 21490 are 1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745, 21490. There are 16 integers that are factors of 21490. The greatest factor of 21490 is 21490.

4. How to Find the LCM of 21486 and 21490?

Answer:

Least Common Multiple of 21486 and 21490 = 230867070

Step 1: Find the prime factorization of 21486

21486 = 2 x 3 x 3581

Step 2: Find the prime factorization of 21490

21490 = 2 x 5 x 7 x 307

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

LCM = 230867070 = 2 x 3 x 5 x 7 x 307 x 3581

Step 4: Therefore, the least common multiple of 21486 and 21490 is 230867070.