Least Common Multiple of 8122 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 8122 and 8126 the smallest integer that is 32999686 that is divisible by both numbers.

Least Common Multiple (LCM) of 8122 and 8126 is 32999686.

LCM(8122,8126) = 32999686

LCM of 8122 and 8126

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

LCM of:
and

Least Common Multiple of 8122 and 8126

LCM of 8122 and 8126 is 32999686

Least common multiple can be found by multiplying the highest exponent prime factors of 8122 and 8126. First we will calculate the prime factors of 8122 and 8126.

Prime Factorization of 8122


2 8122
31 4061
131 131
1

Prime factors of 8122 are 2, 31,131. Prime factorization of 8122 in exponential form is:

8122 = 21×311×1311

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 8122 and 8126.

LCM(8122,8126) = 21×171×311×1311×2391
LCM(8122,8126) = 32999686

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1, 2, 31, 62, 131, 262, 4061, 8122

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 8122 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 8122 and 8126, than apply into the LCM equation.

GCF(8122,8126) = 2
LCM(8122,8126) = ( 8122 × 8126) / 2
LCM(8122,8126) = 65999372 / 2
LCM(8122,8126) = 32999686

Properties of LCM 8122 and 8126

(i) The LCM of 8126 and 8122 is associative

LCM of 8122 and 8126 = LCM of 8126 and 8122

Related Least Common Multiples of 8122

Related Least Common Multiples of 8126

Frequently Asked Questions on LCM of 8122 and 8126

1. What is the LCM of 8122 and 8126?

Answer: LCM of 8122 and 8126 is 32999686.

2. What are the Factors of 8122?

Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.

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 8122 and 8126?

Answer:

Least Common Multiple of 8122 and 8126 = 32999686

Step 1: Find the prime factorization of 8122

8122 = 2 x 31 x 131

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 = 32999686 = 2 x 17 x 31 x 131 x 239

Step 4: Therefore, the least common multiple of 8122 and 8126 is 32999686.