Least Common Multiple of 21461 and 21468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21461 and 21468 the smallest integer that is 460724748 that is divisible by both numbers.

Least Common Multiple (LCM) of 21461 and 21468 is 460724748.

LCM(21461,21468) = 460724748

LCM of 21461 and 21468

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

LCM of:
and

Least Common Multiple of 21461 and 21468

LCM of 21461 and 21468 is 460724748

Least common multiple can be found by multiplying the highest exponent prime factors of 21461 and 21468. First we will calculate the prime factors of 21461 and 21468.

Prime Factorization of 21461


11 21461
1951 1951
1

Prime factors of 21461 are 11,1951. Prime factorization of 21461 in exponential form is:

21461 = 111×19511

Prime Factorization of 21468


2 21468
2 10734
3 5367
1789 1789
1

Prime factors of 21468 are 2, 3,1789. Prime factorization of 21468 in exponential form is:

21468 = 22×31×17891

Now multiplying the highest exponent prime factors to calculate the LCM of 21461 and 21468.

LCM(21461,21468) = 22×31×111×17891×19511
LCM(21461,21468) = 460724748

Factors of 21461

List of positive integer factors of 21461 that divides 21461 without a remainder.

1, 11, 1951, 21461

Factors of 21468

List of positive integer factors of 21468 that divides 21468 without a remainder.

1, 2, 3, 4, 6, 12, 1789, 3578, 5367, 7156, 10734, 21468

Least Common Multiple of 21461 and 21468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21461 and 21468, than apply into the LCM equation.

GCF(21461,21468) = 1
LCM(21461,21468) = ( 21461 × 21468) / 1
LCM(21461,21468) = 460724748 / 1
LCM(21461,21468) = 460724748

Properties of LCM 21461 and 21468

(i) The LCM of 21468 and 21461 is associative

LCM of 21461 and 21468 = LCM of 21468 and 21461

Related Least Common Multiples of 21461

Related Least Common Multiples of 21468

Frequently Asked Questions on LCM of 21461 and 21468

1. What is the LCM of 21461 and 21468?

Answer: LCM of 21461 and 21468 is 460724748.

2. What are the Factors of 21461?

Answer: Factors of 21461 are 1, 11, 1951, 21461. There are 4 integers that are factors of 21461. The greatest factor of 21461 is 21461.

3. What are the Factors of 21468?

Answer: Factors of 21468 are 1, 2, 3, 4, 6, 12, 1789, 3578, 5367, 7156, 10734, 21468. There are 12 integers that are factors of 21468. The greatest factor of 21468 is 21468.

4. How to Find the LCM of 21461 and 21468?

Answer:

Least Common Multiple of 21461 and 21468 = 460724748

Step 1: Find the prime factorization of 21461

21461 = 11 x 1951

Step 2: Find the prime factorization of 21468

21468 = 2 x 2 x 3 x 1789

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

LCM = 460724748 = 2 x 2 x 3 x 11 x 1789 x 1951

Step 4: Therefore, the least common multiple of 21461 and 21468 is 460724748.