Least Common Multiple of 8122 and 8130

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 8130 the smallest integer that is 33015930 that is divisible by both numbers.

Least Common Multiple (LCM) of 8122 and 8130 is 33015930.

LCM(8122,8130) = 33015930

LCM of 8122 and 8130

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

LCM of:
and

Least Common Multiple of 8122 and 8130

LCM of 8122 and 8130 is 33015930

Least common multiple can be found by multiplying the highest exponent prime factors of 8122 and 8130. First we will calculate the prime factors of 8122 and 8130.

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 8130


2 8130
3 4065
5 1355
271 271
1

Prime factors of 8130 are 2, 3, 5,271. Prime factorization of 8130 in exponential form is:

8130 = 21×31×51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 8122 and 8130.

LCM(8122,8130) = 21×31×51×311×1311×2711
LCM(8122,8130) = 33015930

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 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130

Least Common Multiple of 8122 and 8130 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 8130, than apply into the LCM equation.

GCF(8122,8130) = 2
LCM(8122,8130) = ( 8122 × 8130) / 2
LCM(8122,8130) = 66031860 / 2
LCM(8122,8130) = 33015930

Properties of LCM 8122 and 8130

(i) The LCM of 8130 and 8122 is associative

LCM of 8122 and 8130 = LCM of 8130 and 8122

Related Least Common Multiples of 8122

Related Least Common Multiples of 8130

Frequently Asked Questions on LCM of 8122 and 8130

1. What is the LCM of 8122 and 8130?

Answer: LCM of 8122 and 8130 is 33015930.

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 8130?

Answer: Factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130. There are 16 integers that are factors of 8130. The greatest factor of 8130 is 8130.

4. How to Find the LCM of 8122 and 8130?

Answer:

Least Common Multiple of 8122 and 8130 = 33015930

Step 1: Find the prime factorization of 8122

8122 = 2 x 31 x 131

Step 2: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

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

LCM = 33015930 = 2 x 3 x 5 x 31 x 131 x 271

Step 4: Therefore, the least common multiple of 8122 and 8130 is 33015930.