Least Common Multiple of 21476 and 21484

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 21484 the smallest integer that is 115347596 that is divisible by both numbers.

Least Common Multiple (LCM) of 21476 and 21484 is 115347596.

LCM(21476,21484) = 115347596

LCM of 21476 and 21484

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

LCM of:
and

Least Common Multiple of 21476 and 21484

LCM of 21476 and 21484 is 115347596

Least common multiple can be found by multiplying the highest exponent prime factors of 21476 and 21484. First we will calculate the prime factors of 21476 and 21484.

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 21484


2 21484
2 10742
41 5371
131 131
1

Prime factors of 21484 are 2, 41,131. Prime factorization of 21484 in exponential form is:

21484 = 22×411×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 21476 and 21484.

LCM(21476,21484) = 22×71×131×411×591×1311
LCM(21476,21484) = 115347596

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 21484

List of positive integer factors of 21484 that divides 21484 without a remainder.

1, 2, 4, 41, 82, 131, 164, 262, 524, 5371, 10742, 21484

Least Common Multiple of 21476 and 21484 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 21484, than apply into the LCM equation.

GCF(21476,21484) = 4
LCM(21476,21484) = ( 21476 × 21484) / 4
LCM(21476,21484) = 461390384 / 4
LCM(21476,21484) = 115347596

Properties of LCM 21476 and 21484

(i) The LCM of 21484 and 21476 is associative

LCM of 21476 and 21484 = LCM of 21484 and 21476

Related Least Common Multiples of 21476

Related Least Common Multiples of 21484

Frequently Asked Questions on LCM of 21476 and 21484

1. What is the LCM of 21476 and 21484?

Answer: LCM of 21476 and 21484 is 115347596.

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 21484?

Answer: Factors of 21484 are 1, 2, 4, 41, 82, 131, 164, 262, 524, 5371, 10742, 21484. There are 12 integers that are factors of 21484. The greatest factor of 21484 is 21484.

4. How to Find the LCM of 21476 and 21484?

Answer:

Least Common Multiple of 21476 and 21484 = 115347596

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 21484

21484 = 2 x 2 x 41 x 131

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

LCM = 115347596 = 2 x 2 x 7 x 13 x 41 x 59 x 131

Step 4: Therefore, the least common multiple of 21476 and 21484 is 115347596.