Least Common Multiple of 8252 and 8257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8252 and 8257 the smallest integer that is 68136764 that is divisible by both numbers.

Least Common Multiple (LCM) of 8252 and 8257 is 68136764.

LCM(8252,8257) = 68136764

LCM of 8252 and 8257

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

LCM of:
and

Least Common Multiple of 8252 and 8257

LCM of 8252 and 8257 is 68136764

Least common multiple can be found by multiplying the highest exponent prime factors of 8252 and 8257. First we will calculate the prime factors of 8252 and 8257.

Prime Factorization of 8252


2 8252
2 4126
2063 2063
1

Prime factors of 8252 are 2,2063. Prime factorization of 8252 in exponential form is:

8252 = 22×20631

Prime Factorization of 8257


23 8257
359 359
1

Prime factors of 8257 are 23,359. Prime factorization of 8257 in exponential form is:

8257 = 231×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 8252 and 8257.

LCM(8252,8257) = 22×231×3591×20631
LCM(8252,8257) = 68136764

Factors of 8252

List of positive integer factors of 8252 that divides 8252 without a remainder.

1, 2, 4, 2063, 4126, 8252

Factors of 8257

List of positive integer factors of 8257 that divides 8257 without a remainder.

1, 23, 359, 8257

Least Common Multiple of 8252 and 8257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8252 and 8257, than apply into the LCM equation.

GCF(8252,8257) = 1
LCM(8252,8257) = ( 8252 × 8257) / 1
LCM(8252,8257) = 68136764 / 1
LCM(8252,8257) = 68136764

Properties of LCM 8252 and 8257

(i) The LCM of 8257 and 8252 is associative

LCM of 8252 and 8257 = LCM of 8257 and 8252

Related Least Common Multiples of 8252

Related Least Common Multiples of 8257

Frequently Asked Questions on LCM of 8252 and 8257

1. What is the LCM of 8252 and 8257?

Answer: LCM of 8252 and 8257 is 68136764.

2. What are the Factors of 8252?

Answer: Factors of 8252 are 1, 2, 4, 2063, 4126, 8252. There are 6 integers that are factors of 8252. The greatest factor of 8252 is 8252.

3. What are the Factors of 8257?

Answer: Factors of 8257 are 1, 23, 359, 8257. There are 4 integers that are factors of 8257. The greatest factor of 8257 is 8257.

4. How to Find the LCM of 8252 and 8257?

Answer:

Least Common Multiple of 8252 and 8257 = 68136764

Step 1: Find the prime factorization of 8252

8252 = 2 x 2 x 2063

Step 2: Find the prime factorization of 8257

8257 = 23 x 359

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

LCM = 68136764 = 2 x 2 x 23 x 359 x 2063

Step 4: Therefore, the least common multiple of 8252 and 8257 is 68136764.