Least Common Multiple of 8119 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 8119 and 8124 the smallest integer that is 65958756 that is divisible by both numbers.

Least Common Multiple (LCM) of 8119 and 8124 is 65958756.

LCM(8119,8124) = 65958756

LCM of 8119 and 8124

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

LCM of:
and

Least Common Multiple of 8119 and 8124

LCM of 8119 and 8124 is 65958756

Least common multiple can be found by multiplying the highest exponent prime factors of 8119 and 8124. First we will calculate the prime factors of 8119 and 8124.

Prime Factorization of 8119


23 8119
353 353
1

Prime factors of 8119 are 23,353. Prime factorization of 8119 in exponential form is:

8119 = 231×3531

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 8119 and 8124.

LCM(8119,8124) = 22×31×231×3531×6771
LCM(8119,8124) = 65958756

Factors of 8119

List of positive integer factors of 8119 that divides 8119 without a remainder.

1, 23, 353, 8119

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 8119 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 8119 and 8124, than apply into the LCM equation.

GCF(8119,8124) = 1
LCM(8119,8124) = ( 8119 × 8124) / 1
LCM(8119,8124) = 65958756 / 1
LCM(8119,8124) = 65958756

Properties of LCM 8119 and 8124

(i) The LCM of 8124 and 8119 is associative

LCM of 8119 and 8124 = LCM of 8124 and 8119

Related Least Common Multiples of 8119

Related Least Common Multiples of 8124

Frequently Asked Questions on LCM of 8119 and 8124

1. What is the LCM of 8119 and 8124?

Answer: LCM of 8119 and 8124 is 65958756.

2. What are the Factors of 8119?

Answer: Factors of 8119 are 1, 23, 353, 8119. There are 4 integers that are factors of 8119. The greatest factor of 8119 is 8119.

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 8119 and 8124?

Answer:

Least Common Multiple of 8119 and 8124 = 65958756

Step 1: Find the prime factorization of 8119

8119 = 23 x 353

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 = 65958756 = 2 x 2 x 3 x 23 x 353 x 677

Step 4: Therefore, the least common multiple of 8119 and 8124 is 65958756.