Least Common Multiple of 8123 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 8123 and 8124 the smallest integer that is 65991252 that is divisible by both numbers.

Least Common Multiple (LCM) of 8123 and 8124 is 65991252.

LCM(8123,8124) = 65991252

LCM of 8123 and 8124

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

LCM of:
and

Least Common Multiple of 8123 and 8124

LCM of 8123 and 8124 is 65991252

Least common multiple can be found by multiplying the highest exponent prime factors of 8123 and 8124. First we will calculate the prime factors of 8123 and 8124.

Prime Factorization of 8123


8123 8123
1

Prime factors of 8123 are 8123. Prime factorization of 8123 in exponential form is:

8123 = 81231

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 8123 and 8124.

LCM(8123,8124) = 22×31×6771×81231
LCM(8123,8124) = 65991252

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1, 8123

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 8123 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 8123 and 8124, than apply into the LCM equation.

GCF(8123,8124) = 1
LCM(8123,8124) = ( 8123 × 8124) / 1
LCM(8123,8124) = 65991252 / 1
LCM(8123,8124) = 65991252

Properties of LCM 8123 and 8124

(i) The LCM of 8124 and 8123 is associative

LCM of 8123 and 8124 = LCM of 8124 and 8123

Related Least Common Multiples of 8123

Related Least Common Multiples of 8124

Frequently Asked Questions on LCM of 8123 and 8124

1. What is the LCM of 8123 and 8124?

Answer: LCM of 8123 and 8124 is 65991252.

2. What are the Factors of 8123?

Answer: Factors of 8123 are 1, 8123. There are 2 integers that are factors of 8123. The greatest factor of 8123 is 8123.

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 8123 and 8124?

Answer:

Least Common Multiple of 8123 and 8124 = 65991252

Step 1: Find the prime factorization of 8123

8123 = 8123

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 = 65991252 = 2 x 2 x 3 x 677 x 8123

Step 4: Therefore, the least common multiple of 8123 and 8124 is 65991252.