Least Common Multiple of 8121 and 8126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8121 and 8126 the smallest integer that is 65991246 that is divisible by both numbers.

Least Common Multiple (LCM) of 8121 and 8126 is 65991246.

LCM(8121,8126) = 65991246

LCM of 8121 and 8126

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

LCM of:
and

Least Common Multiple of 8121 and 8126

LCM of 8121 and 8126 is 65991246

Least common multiple can be found by multiplying the highest exponent prime factors of 8121 and 8126. First we will calculate the prime factors of 8121 and 8126.

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

Prime Factorization of 8126


2 8126
17 4063
239 239
1

Prime factors of 8126 are 2, 17,239. Prime factorization of 8126 in exponential form is:

8126 = 21×171×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8121 and 8126.

LCM(8121,8126) = 21×31×171×2391×27071
LCM(8121,8126) = 65991246

Factors of 8121

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

1, 3, 2707, 8121

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1, 2, 17, 34, 239, 478, 4063, 8126

Least Common Multiple of 8121 and 8126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8121 and 8126, than apply into the LCM equation.

GCF(8121,8126) = 1
LCM(8121,8126) = ( 8121 × 8126) / 1
LCM(8121,8126) = 65991246 / 1
LCM(8121,8126) = 65991246

Properties of LCM 8121 and 8126

(i) The LCM of 8126 and 8121 is associative

LCM of 8121 and 8126 = LCM of 8126 and 8121

Related Least Common Multiples of 8121

Related Least Common Multiples of 8126

Frequently Asked Questions on LCM of 8121 and 8126

1. What is the LCM of 8121 and 8126?

Answer: LCM of 8121 and 8126 is 65991246.

2. 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.

3. What are the Factors of 8126?

Answer: Factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126. There are 8 integers that are factors of 8126. The greatest factor of 8126 is 8126.

4. How to Find the LCM of 8121 and 8126?

Answer:

Least Common Multiple of 8121 and 8126 = 65991246

Step 1: Find the prime factorization of 8121

8121 = 3 x 2707

Step 2: Find the prime factorization of 8126

8126 = 2 x 17 x 239

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

LCM = 65991246 = 2 x 3 x 17 x 239 x 2707

Step 4: Therefore, the least common multiple of 8121 and 8126 is 65991246.