Least Common Multiple of 7118 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 7118 and 7125 the smallest integer that is 50715750 that is divisible by both numbers.

Least Common Multiple (LCM) of 7118 and 7125 is 50715750.

LCM(7118,7125) = 50715750

LCM of 7118 and 7125

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

LCM of:
and

Least Common Multiple of 7118 and 7125

LCM of 7118 and 7125 is 50715750

Least common multiple can be found by multiplying the highest exponent prime factors of 7118 and 7125. First we will calculate the prime factors of 7118 and 7125.

Prime Factorization of 7118


2 7118
3559 3559
1

Prime factors of 7118 are 2,3559. Prime factorization of 7118 in exponential form is:

7118 = 21×35591

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 7118 and 7125.

LCM(7118,7125) = 21×31×53×191×35591
LCM(7118,7125) = 50715750

Factors of 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1, 2, 3559, 7118

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 7118 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 7118 and 7125, than apply into the LCM equation.

GCF(7118,7125) = 1
LCM(7118,7125) = ( 7118 × 7125) / 1
LCM(7118,7125) = 50715750 / 1
LCM(7118,7125) = 50715750

Properties of LCM 7118 and 7125

(i) The LCM of 7125 and 7118 is associative

LCM of 7118 and 7125 = LCM of 7125 and 7118

Related Least Common Multiples of 7118

Related Least Common Multiples of 7125

Frequently Asked Questions on LCM of 7118 and 7125

1. What is the LCM of 7118 and 7125?

Answer: LCM of 7118 and 7125 is 50715750.

2. What are the Factors of 7118?

Answer: Factors of 7118 are 1, 2, 3559, 7118. There are 4 integers that are factors of 7118. The greatest factor of 7118 is 7118.

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 7118 and 7125?

Answer:

Least Common Multiple of 7118 and 7125 = 50715750

Step 1: Find the prime factorization of 7118

7118 = 2 x 3559

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 = 50715750 = 2 x 3 x 5 x 5 x 5 x 19 x 3559

Step 4: Therefore, the least common multiple of 7118 and 7125 is 50715750.