Least Common Multiple of 6452 and 6458

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 6458 the smallest integer that is 20833508 that is divisible by both numbers.

Least Common Multiple (LCM) of 6452 and 6458 is 20833508.

LCM(6452,6458) = 20833508

LCM of 6452 and 6458

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

LCM of:
and

Least Common Multiple of 6452 and 6458

LCM of 6452 and 6458 is 20833508

Least common multiple can be found by multiplying the highest exponent prime factors of 6452 and 6458. First we will calculate the prime factors of 6452 and 6458.

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 6458


2 6458
3229 3229
1

Prime factors of 6458 are 2,3229. Prime factorization of 6458 in exponential form is:

6458 = 21×32291

Now multiplying the highest exponent prime factors to calculate the LCM of 6452 and 6458.

LCM(6452,6458) = 22×16131×32291
LCM(6452,6458) = 20833508

Factors of 6452

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

1, 2, 4, 1613, 3226, 6452

Factors of 6458

List of positive integer factors of 6458 that divides 6458 without a remainder.

1, 2, 3229, 6458

Least Common Multiple of 6452 and 6458 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 6458, than apply into the LCM equation.

GCF(6452,6458) = 2
LCM(6452,6458) = ( 6452 × 6458) / 2
LCM(6452,6458) = 41667016 / 2
LCM(6452,6458) = 20833508

Properties of LCM 6452 and 6458

(i) The LCM of 6458 and 6452 is associative

LCM of 6452 and 6458 = LCM of 6458 and 6452

Related Least Common Multiples of 6452

Related Least Common Multiples of 6458

Frequently Asked Questions on LCM of 6452 and 6458

1. What is the LCM of 6452 and 6458?

Answer: LCM of 6452 and 6458 is 20833508.

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 6458?

Answer: Factors of 6458 are 1, 2, 3229, 6458. There are 4 integers that are factors of 6458. The greatest factor of 6458 is 6458.

4. How to Find the LCM of 6452 and 6458?

Answer:

Least Common Multiple of 6452 and 6458 = 20833508

Step 1: Find the prime factorization of 6452

6452 = 2 x 2 x 1613

Step 2: Find the prime factorization of 6458

6458 = 2 x 3229

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

LCM = 20833508 = 2 x 2 x 1613 x 3229

Step 4: Therefore, the least common multiple of 6452 and 6458 is 20833508.