Least Common Multiple of 8114 and 8121

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 8121 the smallest integer that is 65893794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8114 and 8121 is 65893794.

LCM(8114,8121) = 65893794

LCM of 8114 and 8121

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

LCM of:
and

Least Common Multiple of 8114 and 8121

LCM of 8114 and 8121 is 65893794

Least common multiple can be found by multiplying the highest exponent prime factors of 8114 and 8121. First we will calculate the prime factors of 8114 and 8121.

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 8121


3 8121
2707 2707
1

Prime factors of 8121 are 3,2707. Prime factorization of 8121 in exponential form is:

8121 = 31×27071

Now multiplying the highest exponent prime factors to calculate the LCM of 8114 and 8121.

LCM(8114,8121) = 21×31×27071×40571
LCM(8114,8121) = 65893794

Factors of 8114

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

1, 2, 4057, 8114

Factors of 8121

List of positive integer factors of 8121 that divides 8121 without a remainder.

1, 3, 2707, 8121

Least Common Multiple of 8114 and 8121 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 8121, than apply into the LCM equation.

GCF(8114,8121) = 1
LCM(8114,8121) = ( 8114 × 8121) / 1
LCM(8114,8121) = 65893794 / 1
LCM(8114,8121) = 65893794

Properties of LCM 8114 and 8121

(i) The LCM of 8121 and 8114 is associative

LCM of 8114 and 8121 = LCM of 8121 and 8114

Related Least Common Multiples of 8114

Related Least Common Multiples of 8121

Frequently Asked Questions on LCM of 8114 and 8121

1. What is the LCM of 8114 and 8121?

Answer: LCM of 8114 and 8121 is 65893794.

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 8121?

Answer: Factors of 8121 are 1, 3, 2707, 8121. There are 4 integers that are factors of 8121. The greatest factor of 8121 is 8121.

4. How to Find the LCM of 8114 and 8121?

Answer:

Least Common Multiple of 8114 and 8121 = 65893794

Step 1: Find the prime factorization of 8114

8114 = 2 x 4057

Step 2: Find the prime factorization of 8121

8121 = 3 x 2707

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

LCM = 65893794 = 2 x 3 x 2707 x 4057

Step 4: Therefore, the least common multiple of 8114 and 8121 is 65893794.