Least Common Multiple of 21466 and 21470

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 21470 the smallest integer that is 230437510 that is divisible by both numbers.

Least Common Multiple (LCM) of 21466 and 21470 is 230437510.

LCM(21466,21470) = 230437510

LCM of 21466 and 21470

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

LCM of:
and

Least Common Multiple of 21466 and 21470

LCM of 21466 and 21470 is 230437510

Least common multiple can be found by multiplying the highest exponent prime factors of 21466 and 21470. First we will calculate the prime factors of 21466 and 21470.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 21466 and 21470.

LCM(21466,21470) = 21×51×191×1131×107331
LCM(21466,21470) = 230437510

Factors of 21466

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

1, 2, 10733, 21466

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

Least Common Multiple of 21466 and 21470 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 21470, than apply into the LCM equation.

GCF(21466,21470) = 2
LCM(21466,21470) = ( 21466 × 21470) / 2
LCM(21466,21470) = 460875020 / 2
LCM(21466,21470) = 230437510

Properties of LCM 21466 and 21470

(i) The LCM of 21470 and 21466 is associative

LCM of 21466 and 21470 = LCM of 21470 and 21466

Related Least Common Multiples of 21466

Related Least Common Multiples of 21470

Frequently Asked Questions on LCM of 21466 and 21470

1. What is the LCM of 21466 and 21470?

Answer: LCM of 21466 and 21470 is 230437510.

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 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.

4. How to Find the LCM of 21466 and 21470?

Answer:

Least Common Multiple of 21466 and 21470 = 230437510

Step 1: Find the prime factorization of 21466

21466 = 2 x 10733

Step 2: Find the prime factorization of 21470

21470 = 2 x 5 x 19 x 113

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

LCM = 230437510 = 2 x 5 x 19 x 113 x 10733

Step 4: Therefore, the least common multiple of 21466 and 21470 is 230437510.