Least Common Multiple of 21466 and 21472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21466 and 21472 the smallest integer that is 230458976 that is divisible by both numbers.

Least Common Multiple (LCM) of 21466 and 21472 is 230458976.

LCM(21466,21472) = 230458976

LCM of 21466 and 21472

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

LCM of:
and

Least Common Multiple of 21466 and 21472

LCM of 21466 and 21472 is 230458976

Least common multiple can be found by multiplying the highest exponent prime factors of 21466 and 21472. First we will calculate the prime factors of 21466 and 21472.

Prime Factorization of 21466


2 21466
10733 10733
1

Prime factors of 21466 are 2,10733. Prime factorization of 21466 in exponential form is:

21466 = 21×107331

Prime Factorization of 21472


2 21472
2 10736
2 5368
2 2684
2 1342
11 671
61 61
1

Prime factors of 21472 are 2, 11,61. Prime factorization of 21472 in exponential form is:

21472 = 25×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 21466 and 21472.

LCM(21466,21472) = 25×111×611×107331
LCM(21466,21472) = 230458976

Factors of 21466

List of positive integer factors of 21466 that divides 21466 without a remainder.

1, 2, 10733, 21466

Factors of 21472

List of positive integer factors of 21472 that divides 21472 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 88, 122, 176, 244, 352, 488, 671, 976, 1342, 1952, 2684, 5368, 10736, 21472

Least Common Multiple of 21466 and 21472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21466 and 21472, than apply into the LCM equation.

GCF(21466,21472) = 2
LCM(21466,21472) = ( 21466 × 21472) / 2
LCM(21466,21472) = 460917952 / 2
LCM(21466,21472) = 230458976

Properties of LCM 21466 and 21472

(i) The LCM of 21472 and 21466 is associative

LCM of 21466 and 21472 = LCM of 21472 and 21466

Related Least Common Multiples of 21466

Related Least Common Multiples of 21472

Frequently Asked Questions on LCM of 21466 and 21472

1. What is the LCM of 21466 and 21472?

Answer: LCM of 21466 and 21472 is 230458976.

2. What are the Factors of 21466?

Answer: Factors of 21466 are 1, 2, 10733, 21466. There are 4 integers that are factors of 21466. The greatest factor of 21466 is 21466.

3. What are the Factors of 21472?

Answer: Factors of 21472 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 88, 122, 176, 244, 352, 488, 671, 976, 1342, 1952, 2684, 5368, 10736, 21472. There are 24 integers that are factors of 21472. The greatest factor of 21472 is 21472.

4. How to Find the LCM of 21466 and 21472?

Answer:

Least Common Multiple of 21466 and 21472 = 230458976

Step 1: Find the prime factorization of 21466

21466 = 2 x 10733

Step 2: Find the prime factorization of 21472

21472 = 2 x 2 x 2 x 2 x 2 x 11 x 61

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

LCM = 230458976 = 2 x 2 x 2 x 2 x 2 x 11 x 61 x 10733

Step 4: Therefore, the least common multiple of 21466 and 21472 is 230458976.