Least Common Multiple of 8250 and 8258

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 8258 the smallest integer that is 34064250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8250 and 8258 is 34064250.

LCM(8250,8258) = 34064250

LCM of 8250 and 8258

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

LCM of:
and

Least Common Multiple of 8250 and 8258

LCM of 8250 and 8258 is 34064250

Least common multiple can be found by multiplying the highest exponent prime factors of 8250 and 8258. First we will calculate the prime factors of 8250 and 8258.

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 8258


2 8258
4129 4129
1

Prime factors of 8258 are 2,4129. Prime factorization of 8258 in exponential form is:

8258 = 21×41291

Now multiplying the highest exponent prime factors to calculate the LCM of 8250 and 8258.

LCM(8250,8258) = 21×31×53×111×41291
LCM(8250,8258) = 34064250

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 8258

List of positive integer factors of 8258 that divides 8258 without a remainder.

1, 2, 4129, 8258

Least Common Multiple of 8250 and 8258 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 8258, than apply into the LCM equation.

GCF(8250,8258) = 2
LCM(8250,8258) = ( 8250 × 8258) / 2
LCM(8250,8258) = 68128500 / 2
LCM(8250,8258) = 34064250

Properties of LCM 8250 and 8258

(i) The LCM of 8258 and 8250 is associative

LCM of 8250 and 8258 = LCM of 8258 and 8250

Related Least Common Multiples of 8250

Related Least Common Multiples of 8258

Frequently Asked Questions on LCM of 8250 and 8258

1. What is the LCM of 8250 and 8258?

Answer: LCM of 8250 and 8258 is 34064250.

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 8258?

Answer: Factors of 8258 are 1, 2, 4129, 8258. There are 4 integers that are factors of 8258. The greatest factor of 8258 is 8258.

4. How to Find the LCM of 8250 and 8258?

Answer:

Least Common Multiple of 8250 and 8258 = 34064250

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 8258

8258 = 2 x 4129

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

LCM = 34064250 = 2 x 3 x 5 x 5 x 5 x 11 x 4129

Step 4: Therefore, the least common multiple of 8250 and 8258 is 34064250.