Least Common Multiple of 8150 and 8156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8150 and 8156 the smallest integer that is 33235700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8150 and 8156 is 33235700.

LCM(8150,8156) = 33235700

LCM of 8150 and 8156

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

LCM of:
and

Least Common Multiple of 8150 and 8156

LCM of 8150 and 8156 is 33235700

Least common multiple can be found by multiplying the highest exponent prime factors of 8150 and 8156. First we will calculate the prime factors of 8150 and 8156.

Prime Factorization of 8150


2 8150
5 4075
5 815
163 163
1

Prime factors of 8150 are 2, 5,163. Prime factorization of 8150 in exponential form is:

8150 = 21×52×1631

Prime Factorization of 8156


2 8156
2 4078
2039 2039
1

Prime factors of 8156 are 2,2039. Prime factorization of 8156 in exponential form is:

8156 = 22×20391

Now multiplying the highest exponent prime factors to calculate the LCM of 8150 and 8156.

LCM(8150,8156) = 22×52×1631×20391
LCM(8150,8156) = 33235700

Factors of 8150

List of positive integer factors of 8150 that divides 8150 without a remainder.

1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1, 2, 4, 2039, 4078, 8156

Least Common Multiple of 8150 and 8156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8150 and 8156, than apply into the LCM equation.

GCF(8150,8156) = 2
LCM(8150,8156) = ( 8150 × 8156) / 2
LCM(8150,8156) = 66471400 / 2
LCM(8150,8156) = 33235700

Properties of LCM 8150 and 8156

(i) The LCM of 8156 and 8150 is associative

LCM of 8150 and 8156 = LCM of 8156 and 8150

Related Least Common Multiples of 8150

Related Least Common Multiples of 8156

Frequently Asked Questions on LCM of 8150 and 8156

1. What is the LCM of 8150 and 8156?

Answer: LCM of 8150 and 8156 is 33235700.

2. What are the Factors of 8150?

Answer: Factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150. There are 12 integers that are factors of 8150. The greatest factor of 8150 is 8150.

3. What are the Factors of 8156?

Answer: Factors of 8156 are 1, 2, 4, 2039, 4078, 8156. There are 6 integers that are factors of 8156. The greatest factor of 8156 is 8156.

4. How to Find the LCM of 8150 and 8156?

Answer:

Least Common Multiple of 8150 and 8156 = 33235700

Step 1: Find the prime factorization of 8150

8150 = 2 x 5 x 5 x 163

Step 2: Find the prime factorization of 8156

8156 = 2 x 2 x 2039

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

LCM = 33235700 = 2 x 2 x 5 x 5 x 163 x 2039

Step 4: Therefore, the least common multiple of 8150 and 8156 is 33235700.