Least Common Multiple of 6456 and 6464

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 6464 the smallest integer that is 5216448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6456 and 6464 is 5216448.

LCM(6456,6464) = 5216448

LCM of 6456 and 6464

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

LCM of:
and

Least Common Multiple of 6456 and 6464

LCM of 6456 and 6464 is 5216448

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6464. First we will calculate the prime factors of 6456 and 6464.

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 6464


2 6464
2 3232
2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 6464 are 2,101. Prime factorization of 6464 in exponential form is:

6464 = 26×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6464.

LCM(6456,6464) = 26×31×1011×2691
LCM(6456,6464) = 5216448

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 6464

List of positive integer factors of 6464 that divides 6464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464

Least Common Multiple of 6456 and 6464 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 6464, than apply into the LCM equation.

GCF(6456,6464) = 8
LCM(6456,6464) = ( 6456 × 6464) / 8
LCM(6456,6464) = 41731584 / 8
LCM(6456,6464) = 5216448

Properties of LCM 6456 and 6464

(i) The LCM of 6464 and 6456 is associative

LCM of 6456 and 6464 = LCM of 6464 and 6456

Related Least Common Multiples of 6456

Related Least Common Multiples of 6464

Frequently Asked Questions on LCM of 6456 and 6464

1. What is the LCM of 6456 and 6464?

Answer: LCM of 6456 and 6464 is 5216448.

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 6464?

Answer: Factors of 6464 are 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464. There are 14 integers that are factors of 6464. The greatest factor of 6464 is 6464.

4. How to Find the LCM of 6456 and 6464?

Answer:

Least Common Multiple of 6456 and 6464 = 5216448

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 6464

6464 = 2 x 2 x 2 x 2 x 2 x 2 x 101

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

LCM = 5216448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 101 x 269

Step 4: Therefore, the least common multiple of 6456 and 6464 is 5216448.