Least Common Multiple of 8250 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 8250 and 8257 the smallest integer that is 68120250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8250 and 8257 is 68120250.

LCM(8250,8257) = 68120250

LCM of 8250 and 8257

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

LCM of:
and

Least Common Multiple of 8250 and 8257

LCM of 8250 and 8257 is 68120250

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8257. First we will calculate the prime factors of 8250 and 8257.

Prime Factorization of 8250


2 8250
3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 8250 are 2, 3, 5,11. Prime factorization of 8250 in exponential form is:

8250 = 21×31×53×111

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 8250 and 8257.

LCM(8250,8257) = 21×31×53×111×231×3591
LCM(8250,8257) = 68120250

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250

Factors of 8257

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

1, 23, 359, 8257

Least Common Multiple of 8250 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 8250 and 8257, than apply into the LCM equation.

GCF(8250,8257) = 1
LCM(8250,8257) = ( 8250 × 8257) / 1
LCM(8250,8257) = 68120250 / 1
LCM(8250,8257) = 68120250

Properties of LCM 8250 and 8257

(i) The LCM of 8257 and 8250 is associative

LCM of 8250 and 8257 = LCM of 8257 and 8250

Related Least Common Multiples of 8250

Related Least Common Multiples of 8257

Frequently Asked Questions on LCM of 8250 and 8257

1. What is the LCM of 8250 and 8257?

Answer: LCM of 8250 and 8257 is 68120250.

2. What are the Factors of 8250?

Answer: Factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250. There are 32 integers that are factors of 8250. The greatest factor of 8250 is 8250.

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 8250 and 8257?

Answer:

Least Common Multiple of 8250 and 8257 = 68120250

Step 1: Find the prime factorization of 8250

8250 = 2 x 3 x 5 x 5 x 5 x 11

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 = 68120250 = 2 x 3 x 5 x 5 x 5 x 11 x 23 x 359

Step 4: Therefore, the least common multiple of 8250 and 8257 is 68120250.