Least Common Multiple of 8115 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 8115 and 8121 the smallest integer that is 21967305 that is divisible by both numbers.

Least Common Multiple (LCM) of 8115 and 8121 is 21967305.

LCM(8115,8121) = 21967305

LCM of 8115 and 8121

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

LCM of:
and

Least Common Multiple of 8115 and 8121

LCM of 8115 and 8121 is 21967305

Least common multiple can be found by multiplying the highest exponent prime factors of 8115 and 8121. First we will calculate the prime factors of 8115 and 8121.

Prime Factorization of 8115


3 8115
5 2705
541 541
1

Prime factors of 8115 are 3, 5,541. Prime factorization of 8115 in exponential form is:

8115 = 31×51×5411

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 8115 and 8121.

LCM(8115,8121) = 31×51×5411×27071
LCM(8115,8121) = 21967305

Factors of 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1, 3, 5, 15, 541, 1623, 2705, 8115

Factors of 8121

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

1, 3, 2707, 8121

Least Common Multiple of 8115 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 8115 and 8121, than apply into the LCM equation.

GCF(8115,8121) = 3
LCM(8115,8121) = ( 8115 × 8121) / 3
LCM(8115,8121) = 65901915 / 3
LCM(8115,8121) = 21967305

Properties of LCM 8115 and 8121

(i) The LCM of 8121 and 8115 is associative

LCM of 8115 and 8121 = LCM of 8121 and 8115

Related Least Common Multiples of 8115

Related Least Common Multiples of 8121

Frequently Asked Questions on LCM of 8115 and 8121

1. What is the LCM of 8115 and 8121?

Answer: LCM of 8115 and 8121 is 21967305.

2. What are the Factors of 8115?

Answer: Factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115. There are 8 integers that are factors of 8115. The greatest factor of 8115 is 8115.

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 8115 and 8121?

Answer:

Least Common Multiple of 8115 and 8121 = 21967305

Step 1: Find the prime factorization of 8115

8115 = 3 x 5 x 541

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 = 21967305 = 3 x 5 x 541 x 2707

Step 4: Therefore, the least common multiple of 8115 and 8121 is 21967305.