Least Common Multiple of 7119 and 7125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7119 and 7125 the smallest integer that is 16907625 that is divisible by both numbers.

Least Common Multiple (LCM) of 7119 and 7125 is 16907625.

LCM(7119,7125) = 16907625

LCM of 7119 and 7125

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

LCM of:
and

Least Common Multiple of 7119 and 7125

LCM of 7119 and 7125 is 16907625

Least common multiple can be found by multiplying the highest exponent prime factors of 7119 and 7125. First we will calculate the prime factors of 7119 and 7125.

Prime Factorization of 7119


3 7119
3 2373
7 791
113 113
1

Prime factors of 7119 are 3, 7,113. Prime factorization of 7119 in exponential form is:

7119 = 32×71×1131

Prime Factorization of 7125


3 7125
5 2375
5 475
5 95
19 19
1

Prime factors of 7125 are 3, 5,19. Prime factorization of 7125 in exponential form is:

7125 = 31×53×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7119 and 7125.

LCM(7119,7125) = 32×53×71×191×1131
LCM(7119,7125) = 16907625

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125

Least Common Multiple of 7119 and 7125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7119 and 7125, than apply into the LCM equation.

GCF(7119,7125) = 3
LCM(7119,7125) = ( 7119 × 7125) / 3
LCM(7119,7125) = 50722875 / 3
LCM(7119,7125) = 16907625

Properties of LCM 7119 and 7125

(i) The LCM of 7125 and 7119 is associative

LCM of 7119 and 7125 = LCM of 7125 and 7119

Related Least Common Multiples of 7119

Related Least Common Multiples of 7125

Frequently Asked Questions on LCM of 7119 and 7125

1. What is the LCM of 7119 and 7125?

Answer: LCM of 7119 and 7125 is 16907625.

2. What are the Factors of 7119?

Answer: Factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119. There are 12 integers that are factors of 7119. The greatest factor of 7119 is 7119.

3. What are the Factors of 7125?

Answer: Factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125. There are 16 integers that are factors of 7125. The greatest factor of 7125 is 7125.

4. How to Find the LCM of 7119 and 7125?

Answer:

Least Common Multiple of 7119 and 7125 = 16907625

Step 1: Find the prime factorization of 7119

7119 = 3 x 3 x 7 x 113

Step 2: Find the prime factorization of 7125

7125 = 3 x 5 x 5 x 5 x 19

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

LCM = 16907625 = 3 x 3 x 5 x 5 x 5 x 7 x 19 x 113

Step 4: Therefore, the least common multiple of 7119 and 7125 is 16907625.