Least Common Multiple of 6462 and 6466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6462 and 6466 the smallest integer that is 20891646 that is divisible by both numbers.

Least Common Multiple (LCM) of 6462 and 6466 is 20891646.

LCM(6462,6466) = 20891646

LCM of 6462 and 6466

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

LCM of:
and

Least Common Multiple of 6462 and 6466

LCM of 6462 and 6466 is 20891646

Least common multiple can be found by multiplying the highest exponent prime factors of 6462 and 6466. First we will calculate the prime factors of 6462 and 6466.

Prime Factorization of 6462


2 6462
3 3231
3 1077
359 359
1

Prime factors of 6462 are 2, 3,359. Prime factorization of 6462 in exponential form is:

6462 = 21×32×3591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6462 and 6466.

LCM(6462,6466) = 21×32×531×611×3591
LCM(6462,6466) = 20891646

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462

Factors of 6466

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

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

Least Common Multiple of 6462 and 6466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6462 and 6466, than apply into the LCM equation.

GCF(6462,6466) = 2
LCM(6462,6466) = ( 6462 × 6466) / 2
LCM(6462,6466) = 41783292 / 2
LCM(6462,6466) = 20891646

Properties of LCM 6462 and 6466

(i) The LCM of 6466 and 6462 is associative

LCM of 6462 and 6466 = LCM of 6466 and 6462

Related Least Common Multiples of 6462

Related Least Common Multiples of 6466

Frequently Asked Questions on LCM of 6462 and 6466

1. What is the LCM of 6462 and 6466?

Answer: LCM of 6462 and 6466 is 20891646.

2. What are the Factors of 6462?

Answer: Factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462. There are 12 integers that are factors of 6462. The greatest factor of 6462 is 6462.

3. 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.

4. How to Find the LCM of 6462 and 6466?

Answer:

Least Common Multiple of 6462 and 6466 = 20891646

Step 1: Find the prime factorization of 6462

6462 = 2 x 3 x 3 x 359

Step 2: Find the prime factorization of 6466

6466 = 2 x 53 x 61

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

LCM = 20891646 = 2 x 3 x 3 x 53 x 61 x 359

Step 4: Therefore, the least common multiple of 6462 and 6466 is 20891646.