Least Common Multiple of 8124 and 8129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8124 and 8129 the smallest integer that is 66039996 that is divisible by both numbers.

Least Common Multiple (LCM) of 8124 and 8129 is 66039996.

LCM(8124,8129) = 66039996

LCM of 8124 and 8129

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

LCM of:
and

Least Common Multiple of 8124 and 8129

LCM of 8124 and 8129 is 66039996

Least common multiple can be found by multiplying the highest exponent prime factors of 8124 and 8129. First we will calculate the prime factors of 8124 and 8129.

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

Prime Factorization of 8129


11 8129
739 739
1

Prime factors of 8129 are 11,739. Prime factorization of 8129 in exponential form is:

8129 = 111×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 8124 and 8129.

LCM(8124,8129) = 22×31×111×6771×7391
LCM(8124,8129) = 66039996

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

Factors of 8129

List of positive integer factors of 8129 that divides 8129 without a remainder.

1, 11, 739, 8129

Least Common Multiple of 8124 and 8129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8124 and 8129, than apply into the LCM equation.

GCF(8124,8129) = 1
LCM(8124,8129) = ( 8124 × 8129) / 1
LCM(8124,8129) = 66039996 / 1
LCM(8124,8129) = 66039996

Properties of LCM 8124 and 8129

(i) The LCM of 8129 and 8124 is associative

LCM of 8124 and 8129 = LCM of 8129 and 8124

Related Least Common Multiples of 8124

Related Least Common Multiples of 8129

Frequently Asked Questions on LCM of 8124 and 8129

1. What is the LCM of 8124 and 8129?

Answer: LCM of 8124 and 8129 is 66039996.

2. 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.

3. What are the Factors of 8129?

Answer: Factors of 8129 are 1, 11, 739, 8129. There are 4 integers that are factors of 8129. The greatest factor of 8129 is 8129.

4. How to Find the LCM of 8124 and 8129?

Answer:

Least Common Multiple of 8124 and 8129 = 66039996

Step 1: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

Step 2: Find the prime factorization of 8129

8129 = 11 x 739

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

LCM = 66039996 = 2 x 2 x 3 x 11 x 677 x 739

Step 4: Therefore, the least common multiple of 8124 and 8129 is 66039996.