Least Common Multiple of 6466 and 6470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6466 and 6470 the smallest integer that is 20917510 that is divisible by both numbers.

Least Common Multiple (LCM) of 6466 and 6470 is 20917510.

LCM(6466,6470) = 20917510

LCM of 6466 and 6470

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

LCM of:
and

Least Common Multiple of 6466 and 6470

LCM of 6466 and 6470 is 20917510

Least common multiple can be found by multiplying the highest exponent prime factors of 6466 and 6470. First we will calculate the prime factors of 6466 and 6470.

Prime Factorization of 6466


2 6466
53 3233
61 61
1

Prime factors of 6466 are 2, 53,61. Prime factorization of 6466 in exponential form is:

6466 = 21×531×611

Prime Factorization of 6470


2 6470
5 3235
647 647
1

Prime factors of 6470 are 2, 5,647. Prime factorization of 6470 in exponential form is:

6470 = 21×51×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 6466 and 6470.

LCM(6466,6470) = 21×51×531×611×6471
LCM(6466,6470) = 20917510

Factors of 6466

List of positive integer factors of 6466 that divides 6466 without a remainder.

1, 2, 53, 61, 106, 122, 3233, 6466

Factors of 6470

List of positive integer factors of 6470 that divides 6470 without a remainder.

1, 2, 5, 10, 647, 1294, 3235, 6470

Least Common Multiple of 6466 and 6470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6466 and 6470, than apply into the LCM equation.

GCF(6466,6470) = 2
LCM(6466,6470) = ( 6466 × 6470) / 2
LCM(6466,6470) = 41835020 / 2
LCM(6466,6470) = 20917510

Properties of LCM 6466 and 6470

(i) The LCM of 6470 and 6466 is associative

LCM of 6466 and 6470 = LCM of 6470 and 6466

Related Least Common Multiples of 6466

Related Least Common Multiples of 6470

Frequently Asked Questions on LCM of 6466 and 6470

1. What is the LCM of 6466 and 6470?

Answer: LCM of 6466 and 6470 is 20917510.

2. What are the Factors of 6466?

Answer: Factors of 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466. There are 8 integers that are factors of 6466. The greatest factor of 6466 is 6466.

3. What are the Factors of 6470?

Answer: Factors of 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470. There are 8 integers that are factors of 6470. The greatest factor of 6470 is 6470.

4. How to Find the LCM of 6466 and 6470?

Answer:

Least Common Multiple of 6466 and 6470 = 20917510

Step 1: Find the prime factorization of 6466

6466 = 2 x 53 x 61

Step 2: Find the prime factorization of 6470

6470 = 2 x 5 x 647

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

LCM = 20917510 = 2 x 5 x 53 x 61 x 647

Step 4: Therefore, the least common multiple of 6466 and 6470 is 20917510.