Least Common Multiple of 21470 and 21474

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 21474 the smallest integer that is 230523390 that is divisible by both numbers.

Least Common Multiple (LCM) of 21470 and 21474 is 230523390.

LCM(21470,21474) = 230523390

LCM of 21470 and 21474

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

LCM of:
and

Least Common Multiple of 21470 and 21474

LCM of 21470 and 21474 is 230523390

Least common multiple can be found by multiplying the highest exponent prime factors of 21470 and 21474. First we will calculate the prime factors of 21470 and 21474.

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 21474


2 21474
3 10737
3 3579
1193 1193
1

Prime factors of 21474 are 2, 3,1193. Prime factorization of 21474 in exponential form is:

21474 = 21×32×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 21470 and 21474.

LCM(21470,21474) = 21×32×51×191×1131×11931
LCM(21470,21474) = 230523390

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 21474

List of positive integer factors of 21474 that divides 21474 without a remainder.

1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474

Least Common Multiple of 21470 and 21474 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 21474, than apply into the LCM equation.

GCF(21470,21474) = 2
LCM(21470,21474) = ( 21470 × 21474) / 2
LCM(21470,21474) = 461046780 / 2
LCM(21470,21474) = 230523390

Properties of LCM 21470 and 21474

(i) The LCM of 21474 and 21470 is associative

LCM of 21470 and 21474 = LCM of 21474 and 21470

Related Least Common Multiples of 21470

Related Least Common Multiples of 21474

Frequently Asked Questions on LCM of 21470 and 21474

1. What is the LCM of 21470 and 21474?

Answer: LCM of 21470 and 21474 is 230523390.

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 21474?

Answer: Factors of 21474 are 1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737, 21474. There are 12 integers that are factors of 21474. The greatest factor of 21474 is 21474.

4. How to Find the LCM of 21470 and 21474?

Answer:

Least Common Multiple of 21470 and 21474 = 230523390

Step 1: Find the prime factorization of 21470

21470 = 2 x 5 x 19 x 113

Step 2: Find the prime factorization of 21474

21474 = 2 x 3 x 3 x 1193

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

LCM = 230523390 = 2 x 3 x 3 x 5 x 19 x 113 x 1193

Step 4: Therefore, the least common multiple of 21470 and 21474 is 230523390.