Least Common Multiple of 8149 and 8150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8149 and 8150 the smallest integer that is 66414350 that is divisible by both numbers.

Least Common Multiple (LCM) of 8149 and 8150 is 66414350.

LCM(8149,8150) = 66414350

LCM of 8149 and 8150

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

LCM of:
and

Least Common Multiple of 8149 and 8150

LCM of 8149 and 8150 is 66414350

Least common multiple can be found by multiplying the highest exponent prime factors of 8149 and 8150. First we will calculate the prime factors of 8149 and 8150.

Prime Factorization of 8149


29 8149
281 281
1

Prime factors of 8149 are 29,281. Prime factorization of 8149 in exponential form is:

8149 = 291×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8149 and 8150.

LCM(8149,8150) = 21×52×291×1631×2811
LCM(8149,8150) = 66414350

Factors of 8149

List of positive integer factors of 8149 that divides 8149 without a remainder.

1, 29, 281, 8149

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

Least Common Multiple of 8149 and 8150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8149 and 8150, than apply into the LCM equation.

GCF(8149,8150) = 1
LCM(8149,8150) = ( 8149 × 8150) / 1
LCM(8149,8150) = 66414350 / 1
LCM(8149,8150) = 66414350

Properties of LCM 8149 and 8150

(i) The LCM of 8150 and 8149 is associative

LCM of 8149 and 8150 = LCM of 8150 and 8149

Related Least Common Multiples of 8149

Related Least Common Multiples of 8150

Frequently Asked Questions on LCM of 8149 and 8150

1. What is the LCM of 8149 and 8150?

Answer: LCM of 8149 and 8150 is 66414350.

2. What are the Factors of 8149?

Answer: Factors of 8149 are 1, 29, 281, 8149. There are 4 integers that are factors of 8149. The greatest factor of 8149 is 8149.

3. 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.

4. How to Find the LCM of 8149 and 8150?

Answer:

Least Common Multiple of 8149 and 8150 = 66414350

Step 1: Find the prime factorization of 8149

8149 = 29 x 281

Step 2: Find the prime factorization of 8150

8150 = 2 x 5 x 5 x 163

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

LCM = 66414350 = 2 x 5 x 5 x 29 x 163 x 281

Step 4: Therefore, the least common multiple of 8149 and 8150 is 66414350.