Least Common Multiple of 21470 and 21476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21470 and 21476 the smallest integer that is 230544860 that is divisible by both numbers.

Least Common Multiple (LCM) of 21470 and 21476 is 230544860.

LCM(21470,21476) = 230544860

LCM of 21470 and 21476

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

LCM of:
and

Least Common Multiple of 21470 and 21476

LCM of 21470 and 21476 is 230544860

Least common multiple can be found by multiplying the highest exponent prime factors of 21470 and 21476. First we will calculate the prime factors of 21470 and 21476.

Prime Factorization of 21470


2 21470
5 10735
19 2147
113 113
1

Prime factors of 21470 are 2, 5, 19,113. Prime factorization of 21470 in exponential form is:

21470 = 21×51×191×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 21470 and 21476.

LCM(21470,21476) = 22×51×71×131×191×591×1131
LCM(21470,21476) = 230544860

Factors of 21470

List of positive integer factors of 21470 that divides 21470 without a remainder.

1, 2, 5, 10, 19, 38, 95, 113, 190, 226, 565, 1130, 2147, 4294, 10735, 21470

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

Least Common Multiple of 21470 and 21476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21470 and 21476, than apply into the LCM equation.

GCF(21470,21476) = 2
LCM(21470,21476) = ( 21470 × 21476) / 2
LCM(21470,21476) = 461089720 / 2
LCM(21470,21476) = 230544860

Properties of LCM 21470 and 21476

(i) The LCM of 21476 and 21470 is associative

LCM of 21470 and 21476 = LCM of 21476 and 21470

Related Least Common Multiples of 21470

Related Least Common Multiples of 21476

Frequently Asked Questions on LCM of 21470 and 21476

1. What is the LCM of 21470 and 21476?

Answer: LCM of 21470 and 21476 is 230544860.

2. What are the Factors of 21470?

Answer: Factors of 21470 are 1, 2, 5, 10, 19, 38, 95, 113, 190, 226, 565, 1130, 2147, 4294, 10735, 21470. There are 16 integers that are factors of 21470. The greatest factor of 21470 is 21470.

3. 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.

4. How to Find the LCM of 21470 and 21476?

Answer:

Least Common Multiple of 21470 and 21476 = 230544860

Step 1: Find the prime factorization of 21470

21470 = 2 x 5 x 19 x 113

Step 2: Find the prime factorization of 21476

21476 = 2 x 2 x 7 x 13 x 59

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

LCM = 230544860 = 2 x 2 x 5 x 7 x 13 x 19 x 59 x 113

Step 4: Therefore, the least common multiple of 21470 and 21476 is 230544860.