Least Common Multiple of 6456 and 6462

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 6462 the smallest integer that is 6953112 that is divisible by both numbers.

Least Common Multiple (LCM) of 6456 and 6462 is 6953112.

LCM(6456,6462) = 6953112

LCM of 6456 and 6462

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

LCM of:
and

Least Common Multiple of 6456 and 6462

LCM of 6456 and 6462 is 6953112

Least common multiple can be found by multiplying the highest exponent prime factors of 6456 and 6462. First we will calculate the prime factors of 6456 and 6462.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6456 and 6462.

LCM(6456,6462) = 23×32×2691×3591
LCM(6456,6462) = 6953112

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 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

Least Common Multiple of 6456 and 6462 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 6462, than apply into the LCM equation.

GCF(6456,6462) = 6
LCM(6456,6462) = ( 6456 × 6462) / 6
LCM(6456,6462) = 41718672 / 6
LCM(6456,6462) = 6953112

Properties of LCM 6456 and 6462

(i) The LCM of 6462 and 6456 is associative

LCM of 6456 and 6462 = LCM of 6462 and 6456

Related Least Common Multiples of 6456

Related Least Common Multiples of 6462

Frequently Asked Questions on LCM of 6456 and 6462

1. What is the LCM of 6456 and 6462?

Answer: LCM of 6456 and 6462 is 6953112.

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 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.

4. How to Find the LCM of 6456 and 6462?

Answer:

Least Common Multiple of 6456 and 6462 = 6953112

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 6462

6462 = 2 x 3 x 3 x 359

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

LCM = 6953112 = 2 x 2 x 2 x 3 x 3 x 269 x 359

Step 4: Therefore, the least common multiple of 6456 and 6462 is 6953112.