Least Common Multiple of 8148 and 8154

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 8154 the smallest integer that is 11073132 that is divisible by both numbers.

Least Common Multiple (LCM) of 8148 and 8154 is 11073132.

LCM(8148,8154) = 11073132

LCM of 8148 and 8154

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

LCM of:
and

Least Common Multiple of 8148 and 8154

LCM of 8148 and 8154 is 11073132

Least common multiple can be found by multiplying the highest exponent prime factors of 8148 and 8154. First we will calculate the prime factors of 8148 and 8154.

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 8154


2 8154
3 4077
3 1359
3 453
151 151
1

Prime factors of 8154 are 2, 3,151. Prime factorization of 8154 in exponential form is:

8154 = 21×33×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8148 and 8154.

LCM(8148,8154) = 22×33×71×971×1511
LCM(8148,8154) = 11073132

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 8154

List of positive integer factors of 8154 that divides 8154 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154

Least Common Multiple of 8148 and 8154 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 8154, than apply into the LCM equation.

GCF(8148,8154) = 6
LCM(8148,8154) = ( 8148 × 8154) / 6
LCM(8148,8154) = 66438792 / 6
LCM(8148,8154) = 11073132

Properties of LCM 8148 and 8154

(i) The LCM of 8154 and 8148 is associative

LCM of 8148 and 8154 = LCM of 8154 and 8148

Related Least Common Multiples of 8148

Related Least Common Multiples of 8154

Frequently Asked Questions on LCM of 8148 and 8154

1. What is the LCM of 8148 and 8154?

Answer: LCM of 8148 and 8154 is 11073132.

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 8154?

Answer: Factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154. There are 16 integers that are factors of 8154. The greatest factor of 8154 is 8154.

4. How to Find the LCM of 8148 and 8154?

Answer:

Least Common Multiple of 8148 and 8154 = 11073132

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 8154

8154 = 2 x 3 x 3 x 3 x 151

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

LCM = 11073132 = 2 x 2 x 3 x 3 x 3 x 7 x 97 x 151

Step 4: Therefore, the least common multiple of 8148 and 8154 is 11073132.