Least Common Multiple of 8148 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 8148 and 8156 the smallest integer that is 16613772 that is divisible by both numbers.

Least Common Multiple (LCM) of 8148 and 8156 is 16613772.

LCM(8148,8156) = 16613772

LCM of 8148 and 8156

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

LCM of:
and

Least Common Multiple of 8148 and 8156

LCM of 8148 and 8156 is 16613772

Least common multiple can be found by multiplying the highest exponent prime factors of 8148 and 8156. First we will calculate the prime factors of 8148 and 8156.

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 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 8148 and 8156.

LCM(8148,8156) = 22×31×71×971×20391
LCM(8148,8156) = 16613772

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 8156

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

1, 2, 4, 2039, 4078, 8156

Least Common Multiple of 8148 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 8148 and 8156, than apply into the LCM equation.

GCF(8148,8156) = 4
LCM(8148,8156) = ( 8148 × 8156) / 4
LCM(8148,8156) = 66455088 / 4
LCM(8148,8156) = 16613772

Properties of LCM 8148 and 8156

(i) The LCM of 8156 and 8148 is associative

LCM of 8148 and 8156 = LCM of 8156 and 8148

Related Least Common Multiples of 8148

Related Least Common Multiples of 8156

Frequently Asked Questions on LCM of 8148 and 8156

1. What is the LCM of 8148 and 8156?

Answer: LCM of 8148 and 8156 is 16613772.

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 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 8148 and 8156?

Answer:

Least Common Multiple of 8148 and 8156 = 16613772

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 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 = 16613772 = 2 x 2 x 3 x 7 x 97 x 2039

Step 4: Therefore, the least common multiple of 8148 and 8156 is 16613772.