Least Common Multiple of 6452 and 6456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6452 and 6456 the smallest integer that is 10413528 that is divisible by both numbers.

Least Common Multiple (LCM) of 6452 and 6456 is 10413528.

LCM(6452,6456) = 10413528

LCM of 6452 and 6456

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

LCM of:
and

Least Common Multiple of 6452 and 6456

LCM of 6452 and 6456 is 10413528

Least common multiple can be found by multiplying the highest exponent prime factors of 6452 and 6456. First we will calculate the prime factors of 6452 and 6456.

Prime Factorization of 6452


2 6452
2 3226
1613 1613
1

Prime factors of 6452 are 2,1613. Prime factorization of 6452 in exponential form is:

6452 = 22×16131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6452 and 6456.

LCM(6452,6456) = 23×31×2691×16131
LCM(6452,6456) = 10413528

Factors of 6452

List of positive integer factors of 6452 that divides 6452 without a remainder.

1, 2, 4, 1613, 3226, 6452

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

Least Common Multiple of 6452 and 6456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6452 and 6456, than apply into the LCM equation.

GCF(6452,6456) = 4
LCM(6452,6456) = ( 6452 × 6456) / 4
LCM(6452,6456) = 41654112 / 4
LCM(6452,6456) = 10413528

Properties of LCM 6452 and 6456

(i) The LCM of 6456 and 6452 is associative

LCM of 6452 and 6456 = LCM of 6456 and 6452

Related Least Common Multiples of 6452

Related Least Common Multiples of 6456

Frequently Asked Questions on LCM of 6452 and 6456

1. What is the LCM of 6452 and 6456?

Answer: LCM of 6452 and 6456 is 10413528.

2. What are the Factors of 6452?

Answer: Factors of 6452 are 1, 2, 4, 1613, 3226, 6452. There are 6 integers that are factors of 6452. The greatest factor of 6452 is 6452.

3. 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.

4. How to Find the LCM of 6452 and 6456?

Answer:

Least Common Multiple of 6452 and 6456 = 10413528

Step 1: Find the prime factorization of 6452

6452 = 2 x 2 x 1613

Step 2: Find the prime factorization of 6456

6456 = 2 x 2 x 2 x 3 x 269

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

LCM = 10413528 = 2 x 2 x 2 x 3 x 269 x 1613

Step 4: Therefore, the least common multiple of 6452 and 6456 is 10413528.