Least Common Multiple of 6452 and 6455

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 6455 the smallest integer that is 41647660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6452 and 6455 is 41647660.

LCM(6452,6455) = 41647660

LCM of 6452 and 6455

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

LCM of:
and

Least Common Multiple of 6452 and 6455

LCM of 6452 and 6455 is 41647660

Least common multiple can be found by multiplying the highest exponent prime factors of 6452 and 6455. First we will calculate the prime factors of 6452 and 6455.

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 6455


5 6455
1291 1291
1

Prime factors of 6455 are 5,1291. Prime factorization of 6455 in exponential form is:

6455 = 51×12911

Now multiplying the highest exponent prime factors to calculate the LCM of 6452 and 6455.

LCM(6452,6455) = 22×51×12911×16131
LCM(6452,6455) = 41647660

Factors of 6452

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

1, 2, 4, 1613, 3226, 6452

Factors of 6455

List of positive integer factors of 6455 that divides 6455 without a remainder.

1, 5, 1291, 6455

Least Common Multiple of 6452 and 6455 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 6455, than apply into the LCM equation.

GCF(6452,6455) = 1
LCM(6452,6455) = ( 6452 × 6455) / 1
LCM(6452,6455) = 41647660 / 1
LCM(6452,6455) = 41647660

Properties of LCM 6452 and 6455

(i) The LCM of 6455 and 6452 is associative

LCM of 6452 and 6455 = LCM of 6455 and 6452

Related Least Common Multiples of 6452

Related Least Common Multiples of 6455

Frequently Asked Questions on LCM of 6452 and 6455

1. What is the LCM of 6452 and 6455?

Answer: LCM of 6452 and 6455 is 41647660.

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 6455?

Answer: Factors of 6455 are 1, 5, 1291, 6455. There are 4 integers that are factors of 6455. The greatest factor of 6455 is 6455.

4. How to Find the LCM of 6452 and 6455?

Answer:

Least Common Multiple of 6452 and 6455 = 41647660

Step 1: Find the prime factorization of 6452

6452 = 2 x 2 x 1613

Step 2: Find the prime factorization of 6455

6455 = 5 x 1291

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

LCM = 41647660 = 2 x 2 x 5 x 1291 x 1613

Step 4: Therefore, the least common multiple of 6452 and 6455 is 41647660.