Least Common Multiple of 8452 and 8453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8452 and 8453 the smallest integer that is 71444756 that is divisible by both numbers.

Least Common Multiple (LCM) of 8452 and 8453 is 71444756.

LCM(8452,8453) = 71444756

LCM of 8452 and 8453

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

LCM of:
and

Least Common Multiple of 8452 and 8453

LCM of 8452 and 8453 is 71444756

Least common multiple can be found by multiplying the highest exponent prime factors of 8452 and 8453. First we will calculate the prime factors of 8452 and 8453.

Prime Factorization of 8452


2 8452
2 4226
2113 2113
1

Prime factors of 8452 are 2,2113. Prime factorization of 8452 in exponential form is:

8452 = 22×21131

Prime Factorization of 8453


79 8453
107 107
1

Prime factors of 8453 are 79,107. Prime factorization of 8453 in exponential form is:

8453 = 791×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8452 and 8453.

LCM(8452,8453) = 22×791×1071×21131
LCM(8452,8453) = 71444756

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1, 2, 4, 2113, 4226, 8452

Factors of 8453

List of positive integer factors of 8453 that divides 8453 without a remainder.

1, 79, 107, 8453

Least Common Multiple of 8452 and 8453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8452 and 8453, than apply into the LCM equation.

GCF(8452,8453) = 1
LCM(8452,8453) = ( 8452 × 8453) / 1
LCM(8452,8453) = 71444756 / 1
LCM(8452,8453) = 71444756

Properties of LCM 8452 and 8453

(i) The LCM of 8453 and 8452 is associative

LCM of 8452 and 8453 = LCM of 8453 and 8452

Related Least Common Multiples of 8452

Related Least Common Multiples of 8453

Frequently Asked Questions on LCM of 8452 and 8453

1. What is the LCM of 8452 and 8453?

Answer: LCM of 8452 and 8453 is 71444756.

2. What are the Factors of 8452?

Answer: Factors of 8452 are 1, 2, 4, 2113, 4226, 8452. There are 6 integers that are factors of 8452. The greatest factor of 8452 is 8452.

3. What are the Factors of 8453?

Answer: Factors of 8453 are 1, 79, 107, 8453. There are 4 integers that are factors of 8453. The greatest factor of 8453 is 8453.

4. How to Find the LCM of 8452 and 8453?

Answer:

Least Common Multiple of 8452 and 8453 = 71444756

Step 1: Find the prime factorization of 8452

8452 = 2 x 2 x 2113

Step 2: Find the prime factorization of 8453

8453 = 79 x 107

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

LCM = 71444756 = 2 x 2 x 79 x 107 x 2113

Step 4: Therefore, the least common multiple of 8452 and 8453 is 71444756.