Least Common Multiple of 8452 and 8456

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 8456 the smallest integer that is 17867528 that is divisible by both numbers.

Least Common Multiple (LCM) of 8452 and 8456 is 17867528.

LCM(8452,8456) = 17867528

LCM of 8452 and 8456

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

LCM of:
and

Least Common Multiple of 8452 and 8456

LCM of 8452 and 8456 is 17867528

Least common multiple can be found by multiplying the highest exponent prime factors of 8452 and 8456. First we will calculate the prime factors of 8452 and 8456.

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 8456


2 8456
2 4228
2 2114
7 1057
151 151
1

Prime factors of 8456 are 2, 7,151. Prime factorization of 8456 in exponential form is:

8456 = 23×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8452 and 8456.

LCM(8452,8456) = 23×71×1511×21131
LCM(8452,8456) = 17867528

Factors of 8452

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

1, 2, 4, 2113, 4226, 8452

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456

Least Common Multiple of 8452 and 8456 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 8456, than apply into the LCM equation.

GCF(8452,8456) = 4
LCM(8452,8456) = ( 8452 × 8456) / 4
LCM(8452,8456) = 71470112 / 4
LCM(8452,8456) = 17867528

Properties of LCM 8452 and 8456

(i) The LCM of 8456 and 8452 is associative

LCM of 8452 and 8456 = LCM of 8456 and 8452

Related Least Common Multiples of 8452

Related Least Common Multiples of 8456

Frequently Asked Questions on LCM of 8452 and 8456

1. What is the LCM of 8452 and 8456?

Answer: LCM of 8452 and 8456 is 17867528.

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 8456?

Answer: Factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456. There are 16 integers that are factors of 8456. The greatest factor of 8456 is 8456.

4. How to Find the LCM of 8452 and 8456?

Answer:

Least Common Multiple of 8452 and 8456 = 17867528

Step 1: Find the prime factorization of 8452

8452 = 2 x 2 x 2113

Step 2: Find the prime factorization of 8456

8456 = 2 x 2 x 2 x 7 x 151

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

LCM = 17867528 = 2 x 2 x 2 x 7 x 151 x 2113

Step 4: Therefore, the least common multiple of 8452 and 8456 is 17867528.