Least Common Multiple of 6456 and 6461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6456 and 6461 the smallest integer that is 41712216 that is divisible by both numbers.

Least Common Multiple (LCM) of 6456 and 6461 is 41712216.

LCM(6456,6461) = 41712216

LCM of 6456 and 6461

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

LCM of:
and

Least Common Multiple of 6456 and 6461

LCM of 6456 and 6461 is 41712216

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6461. First we will calculate the prime factors of 6456 and 6461.

Prime Factorization of 6456


2 6456
2 3228
2 1614
3 807
269 269
1

Prime factors of 6456 are 2, 3,269. Prime factorization of 6456 in exponential form is:

6456 = 23×31×2691

Prime Factorization of 6461


7 6461
13 923
71 71
1

Prime factors of 6461 are 7, 13,71. Prime factorization of 6461 in exponential form is:

6461 = 71×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6461.

LCM(6456,6461) = 23×31×71×131×711×2691
LCM(6456,6461) = 41712216

Factors of 6456

List of positive integer factors of 6456 that divides 6456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456

Factors of 6461

List of positive integer factors of 6461 that divides 6461 without a remainder.

1, 7, 13, 71, 91, 497, 923, 6461

Least Common Multiple of 6456 and 6461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6456 and 6461, than apply into the LCM equation.

GCF(6456,6461) = 1
LCM(6456,6461) = ( 6456 × 6461) / 1
LCM(6456,6461) = 41712216 / 1
LCM(6456,6461) = 41712216

Properties of LCM 6456 and 6461

(i) The LCM of 6461 and 6456 is associative

LCM of 6456 and 6461 = LCM of 6461 and 6456

Related Least Common Multiples of 6456

Related Least Common Multiples of 6461

Frequently Asked Questions on LCM of 6456 and 6461

1. What is the LCM of 6456 and 6461?

Answer: LCM of 6456 and 6461 is 41712216.

2. What are the Factors of 6456?

Answer: Factors of 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456. There are 16 integers that are factors of 6456. The greatest factor of 6456 is 6456.

3. What are the Factors of 6461?

Answer: Factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461. There are 8 integers that are factors of 6461. The greatest factor of 6461 is 6461.

4. How to Find the LCM of 6456 and 6461?

Answer:

Least Common Multiple of 6456 and 6461 = 41712216

Step 1: Find the prime factorization of 6456

6456 = 2 x 2 x 2 x 3 x 269

Step 2: Find the prime factorization of 6461

6461 = 7 x 13 x 71

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

LCM = 41712216 = 2 x 2 x 2 x 3 x 7 x 13 x 71 x 269

Step 4: Therefore, the least common multiple of 6456 and 6461 is 41712216.