Least Common Multiple of 8122 and 8124

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 8124 the smallest integer that is 32991564 that is divisible by both numbers.

Least Common Multiple (LCM) of 8122 and 8124 is 32991564.

LCM(8122,8124) = 32991564

LCM of 8122 and 8124

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

LCM of:
and

Least Common Multiple of 8122 and 8124

LCM of 8122 and 8124 is 32991564

Least common multiple can be found by multiplying the highest exponent prime factors of 8122 and 8124. First we will calculate the prime factors of 8122 and 8124.

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 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2, 3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 8122 and 8124.

LCM(8122,8124) = 22×31×311×1311×6771
LCM(8122,8124) = 32991564

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 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124

Least Common Multiple of 8122 and 8124 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 8124, than apply into the LCM equation.

GCF(8122,8124) = 2
LCM(8122,8124) = ( 8122 × 8124) / 2
LCM(8122,8124) = 65983128 / 2
LCM(8122,8124) = 32991564

Properties of LCM 8122 and 8124

(i) The LCM of 8124 and 8122 is associative

LCM of 8122 and 8124 = LCM of 8124 and 8122

Related Least Common Multiples of 8122

Related Least Common Multiples of 8124

Frequently Asked Questions on LCM of 8122 and 8124

1. What is the LCM of 8122 and 8124?

Answer: LCM of 8122 and 8124 is 32991564.

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 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

4. How to Find the LCM of 8122 and 8124?

Answer:

Least Common Multiple of 8122 and 8124 = 32991564

Step 1: Find the prime factorization of 8122

8122 = 2 x 31 x 131

Step 2: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

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

LCM = 32991564 = 2 x 2 x 3 x 31 x 131 x 677

Step 4: Therefore, the least common multiple of 8122 and 8124 is 32991564.