Least Common Multiple of 8119 and 8125

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 8125 the smallest integer that is 65966875 that is divisible by both numbers.

Least Common Multiple (LCM) of 8119 and 8125 is 65966875.

LCM(8119,8125) = 65966875

LCM of 8119 and 8125

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

LCM of:
and

Least Common Multiple of 8119 and 8125

LCM of 8119 and 8125 is 65966875

Least common multiple can be found by multiplying the highest exponent prime factors of 8119 and 8125. First we will calculate the prime factors of 8119 and 8125.

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 8125


5 8125
5 1625
5 325
5 65
13 13
1

Prime factors of 8125 are 5,13. Prime factorization of 8125 in exponential form is:

8125 = 54×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8119 and 8125.

LCM(8119,8125) = 54×131×231×3531
LCM(8119,8125) = 65966875

Factors of 8119

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

1, 23, 353, 8119

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125

Least Common Multiple of 8119 and 8125 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 8125, than apply into the LCM equation.

GCF(8119,8125) = 1
LCM(8119,8125) = ( 8119 × 8125) / 1
LCM(8119,8125) = 65966875 / 1
LCM(8119,8125) = 65966875

Properties of LCM 8119 and 8125

(i) The LCM of 8125 and 8119 is associative

LCM of 8119 and 8125 = LCM of 8125 and 8119

Related Least Common Multiples of 8119

Related Least Common Multiples of 8125

Frequently Asked Questions on LCM of 8119 and 8125

1. What is the LCM of 8119 and 8125?

Answer: LCM of 8119 and 8125 is 65966875.

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 8125?

Answer: Factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125. There are 10 integers that are factors of 8125. The greatest factor of 8125 is 8125.

4. How to Find the LCM of 8119 and 8125?

Answer:

Least Common Multiple of 8119 and 8125 = 65966875

Step 1: Find the prime factorization of 8119

8119 = 23 x 353

Step 2: Find the prime factorization of 8125

8125 = 5 x 5 x 5 x 5 x 13

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

LCM = 65966875 = 5 x 5 x 5 x 5 x 13 x 23 x 353

Step 4: Therefore, the least common multiple of 8119 and 8125 is 65966875.