Least Common Multiple of 8114 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 8114 and 8120 the smallest integer that is 32942840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8114 and 8120 is 32942840.

LCM(8114,8120) = 32942840

LCM of 8114 and 8120

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

LCM of:
and

Least Common Multiple of 8114 and 8120

LCM of 8114 and 8120 is 32942840

Least common multiple can be found by multiplying the highest exponent prime factors of 8114 and 8120. First we will calculate the prime factors of 8114 and 8120.

Prime Factorization of 8114


2 8114
4057 4057
1

Prime factors of 8114 are 2,4057. Prime factorization of 8114 in exponential form is:

8114 = 21×40571

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 8114 and 8120.

LCM(8114,8120) = 23×51×71×291×40571
LCM(8114,8120) = 32942840

Factors of 8114

List of positive integer factors of 8114 that divides 8114 without a remainder.

1, 2, 4057, 8114

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 8114 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 8114 and 8120, than apply into the LCM equation.

GCF(8114,8120) = 2
LCM(8114,8120) = ( 8114 × 8120) / 2
LCM(8114,8120) = 65885680 / 2
LCM(8114,8120) = 32942840

Properties of LCM 8114 and 8120

(i) The LCM of 8120 and 8114 is associative

LCM of 8114 and 8120 = LCM of 8120 and 8114

Related Least Common Multiples of 8114

Related Least Common Multiples of 8120

Frequently Asked Questions on LCM of 8114 and 8120

1. What is the LCM of 8114 and 8120?

Answer: LCM of 8114 and 8120 is 32942840.

2. What are the Factors of 8114?

Answer: Factors of 8114 are 1, 2, 4057, 8114. There are 4 integers that are factors of 8114. The greatest factor of 8114 is 8114.

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 8114 and 8120?

Answer:

Least Common Multiple of 8114 and 8120 = 32942840

Step 1: Find the prime factorization of 8114

8114 = 2 x 4057

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 = 32942840 = 2 x 2 x 2 x 5 x 7 x 29 x 4057

Step 4: Therefore, the least common multiple of 8114 and 8120 is 32942840.