Least Common Multiple of 21476 and 21483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21476 and 21483 the smallest integer that is 65909844 that is divisible by both numbers.

Least Common Multiple (LCM) of 21476 and 21483 is 65909844.

LCM(21476,21483) = 65909844

LCM of 21476 and 21483

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

LCM of:
and

Least Common Multiple of 21476 and 21483

LCM of 21476 and 21483 is 65909844

Least common multiple can be found by multiplying the highest exponent prime factors of 21476 and 21483. First we will calculate the prime factors of 21476 and 21483.

Prime Factorization of 21476


2 21476
2 10738
7 5369
13 767
59 59
1

Prime factors of 21476 are 2, 7, 13,59. Prime factorization of 21476 in exponential form is:

21476 = 22×71×131×591

Prime Factorization of 21483


3 21483
3 7161
7 2387
11 341
31 31
1

Prime factors of 21483 are 3, 7, 11,31. Prime factorization of 21483 in exponential form is:

21483 = 32×71×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 21476 and 21483.

LCM(21476,21483) = 22×32×71×111×131×311×591
LCM(21476,21483) = 65909844

Factors of 21476

List of positive integer factors of 21476 that divides 21476 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 59, 91, 118, 182, 236, 364, 413, 767, 826, 1534, 1652, 3068, 5369, 10738, 21476

Factors of 21483

List of positive integer factors of 21483 that divides 21483 without a remainder.

1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161, 21483

Least Common Multiple of 21476 and 21483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21476 and 21483, than apply into the LCM equation.

GCF(21476,21483) = 7
LCM(21476,21483) = ( 21476 × 21483) / 7
LCM(21476,21483) = 461368908 / 7
LCM(21476,21483) = 65909844

Properties of LCM 21476 and 21483

(i) The LCM of 21483 and 21476 is associative

LCM of 21476 and 21483 = LCM of 21483 and 21476

Related Least Common Multiples of 21476

Related Least Common Multiples of 21483

Frequently Asked Questions on LCM of 21476 and 21483

1. What is the LCM of 21476 and 21483?

Answer: LCM of 21476 and 21483 is 65909844.

2. What are the Factors of 21476?

Answer: Factors of 21476 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 59, 91, 118, 182, 236, 364, 413, 767, 826, 1534, 1652, 3068, 5369, 10738, 21476. There are 24 integers that are factors of 21476. The greatest factor of 21476 is 21476.

3. What are the Factors of 21483?

Answer: Factors of 21483 are 1, 3, 7, 9, 11, 21, 31, 33, 63, 77, 93, 99, 217, 231, 279, 341, 651, 693, 1023, 1953, 2387, 3069, 7161, 21483. There are 24 integers that are factors of 21483. The greatest factor of 21483 is 21483.

4. How to Find the LCM of 21476 and 21483?

Answer:

Least Common Multiple of 21476 and 21483 = 65909844

Step 1: Find the prime factorization of 21476

21476 = 2 x 2 x 7 x 13 x 59

Step 2: Find the prime factorization of 21483

21483 = 3 x 3 x 7 x 11 x 31

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

LCM = 65909844 = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 31 x 59

Step 4: Therefore, the least common multiple of 21476 and 21483 is 65909844.