Least Common Multiple of 8112 and 8120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8112 and 8120 the smallest integer that is 8233680 that is divisible by both numbers.

Least Common Multiple (LCM) of 8112 and 8120 is 8233680.

LCM(8112,8120) = 8233680

LCM of 8112 and 8120

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

LCM of:
and

Least Common Multiple of 8112 and 8120

LCM of 8112 and 8120 is 8233680

Least common multiple can be found by multiplying the highest exponent prime factors of 8112 and 8120. First we will calculate the prime factors of 8112 and 8120.

Prime Factorization of 8112


2 8112
2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 8112 are 2, 3,13. Prime factorization of 8112 in exponential form is:

8112 = 24×31×132

Prime Factorization of 8120


2 8120
2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 8120 are 2, 5, 7,29. Prime factorization of 8120 in exponential form is:

8120 = 23×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8112 and 8120.

LCM(8112,8120) = 24×31×51×71×132×291
LCM(8112,8120) = 8233680

Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120

Least Common Multiple of 8112 and 8120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8112 and 8120, than apply into the LCM equation.

GCF(8112,8120) = 8
LCM(8112,8120) = ( 8112 × 8120) / 8
LCM(8112,8120) = 65869440 / 8
LCM(8112,8120) = 8233680

Properties of LCM 8112 and 8120

(i) The LCM of 8120 and 8112 is associative

LCM of 8112 and 8120 = LCM of 8120 and 8112

Related Least Common Multiples of 8112

Related Least Common Multiples of 8120

Frequently Asked Questions on LCM of 8112 and 8120

1. What is the LCM of 8112 and 8120?

Answer: LCM of 8112 and 8120 is 8233680.

2. What are the Factors of 8112?

Answer: Factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112. There are 30 integers that are factors of 8112. The greatest factor of 8112 is 8112.

3. What are the Factors of 8120?

Answer: Factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. There are 32 integers that are factors of 8120. The greatest factor of 8120 is 8120.

4. How to Find the LCM of 8112 and 8120?

Answer:

Least Common Multiple of 8112 and 8120 = 8233680

Step 1: Find the prime factorization of 8112

8112 = 2 x 2 x 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 8120

8120 = 2 x 2 x 2 x 5 x 7 x 29

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

LCM = 8233680 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 8112 and 8120 is 8233680.