Least Common Multiple of 8149 and 8155

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 8155 the smallest integer that is 66455095 that is divisible by both numbers.

Least Common Multiple (LCM) of 8149 and 8155 is 66455095.

LCM(8149,8155) = 66455095

LCM of 8149 and 8155

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

LCM of:
and

Least Common Multiple of 8149 and 8155

LCM of 8149 and 8155 is 66455095

Least common multiple can be found by multiplying the highest exponent prime factors of 8149 and 8155. First we will calculate the prime factors of 8149 and 8155.

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 8155


5 8155
7 1631
233 233
1

Prime factors of 8155 are 5, 7,233. Prime factorization of 8155 in exponential form is:

8155 = 51×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 8149 and 8155.

LCM(8149,8155) = 51×71×291×2331×2811
LCM(8149,8155) = 66455095

Factors of 8149

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

1, 29, 281, 8149

Factors of 8155

List of positive integer factors of 8155 that divides 8155 without a remainder.

1, 5, 7, 35, 233, 1165, 1631, 8155

Least Common Multiple of 8149 and 8155 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 8155, than apply into the LCM equation.

GCF(8149,8155) = 1
LCM(8149,8155) = ( 8149 × 8155) / 1
LCM(8149,8155) = 66455095 / 1
LCM(8149,8155) = 66455095

Properties of LCM 8149 and 8155

(i) The LCM of 8155 and 8149 is associative

LCM of 8149 and 8155 = LCM of 8155 and 8149

Related Least Common Multiples of 8149

Related Least Common Multiples of 8155

Frequently Asked Questions on LCM of 8149 and 8155

1. What is the LCM of 8149 and 8155?

Answer: LCM of 8149 and 8155 is 66455095.

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 8155?

Answer: Factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155. There are 8 integers that are factors of 8155. The greatest factor of 8155 is 8155.

4. How to Find the LCM of 8149 and 8155?

Answer:

Least Common Multiple of 8149 and 8155 = 66455095

Step 1: Find the prime factorization of 8149

8149 = 29 x 281

Step 2: Find the prime factorization of 8155

8155 = 5 x 7 x 233

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

LCM = 66455095 = 5 x 7 x 29 x 233 x 281

Step 4: Therefore, the least common multiple of 8149 and 8155 is 66455095.