Least Common Multiple of 8148 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 8148 and 8155 the smallest integer that is 9492420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8148 and 8155 is 9492420.

LCM(8148,8155) = 9492420

LCM of 8148 and 8155

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

LCM of:
and

Least Common Multiple of 8148 and 8155

LCM of 8148 and 8155 is 9492420

Least common multiple can be found by multiplying the highest exponent prime factors of 8148 and 8155. First we will calculate the prime factors of 8148 and 8155.

Prime Factorization of 8148


2 8148
2 4074
3 2037
7 679
97 97
1

Prime factors of 8148 are 2, 3, 7,97. Prime factorization of 8148 in exponential form is:

8148 = 22×31×71×971

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 8148 and 8155.

LCM(8148,8155) = 22×31×51×71×971×2331
LCM(8148,8155) = 9492420

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148

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 8148 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 8148 and 8155, than apply into the LCM equation.

GCF(8148,8155) = 7
LCM(8148,8155) = ( 8148 × 8155) / 7
LCM(8148,8155) = 66446940 / 7
LCM(8148,8155) = 9492420

Properties of LCM 8148 and 8155

(i) The LCM of 8155 and 8148 is associative

LCM of 8148 and 8155 = LCM of 8155 and 8148

Related Least Common Multiples of 8148

Related Least Common Multiples of 8155

Frequently Asked Questions on LCM of 8148 and 8155

1. What is the LCM of 8148 and 8155?

Answer: LCM of 8148 and 8155 is 9492420.

2. What are the Factors of 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

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 8148 and 8155?

Answer:

Least Common Multiple of 8148 and 8155 = 9492420

Step 1: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

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 = 9492420 = 2 x 2 x 3 x 5 x 7 x 97 x 233

Step 4: Therefore, the least common multiple of 8148 and 8155 is 9492420.