Least Common Multiple of 7122 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 7122 and 7125 the smallest integer that is 16914750 that is divisible by both numbers.

Least Common Multiple (LCM) of 7122 and 7125 is 16914750.

LCM(7122,7125) = 16914750

LCM of 7122 and 7125

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

LCM of:
and

Least Common Multiple of 7122 and 7125

LCM of 7122 and 7125 is 16914750

Least common multiple can be found by multiplying the highest exponent prime factors of 7122 and 7125. First we will calculate the prime factors of 7122 and 7125.

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2, 3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

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 7122 and 7125.

LCM(7122,7125) = 21×31×53×191×11871
LCM(7122,7125) = 16914750

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1, 2, 3, 6, 1187, 2374, 3561, 7122

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 7122 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 7122 and 7125, than apply into the LCM equation.

GCF(7122,7125) = 3
LCM(7122,7125) = ( 7122 × 7125) / 3
LCM(7122,7125) = 50744250 / 3
LCM(7122,7125) = 16914750

Properties of LCM 7122 and 7125

(i) The LCM of 7125 and 7122 is associative

LCM of 7122 and 7125 = LCM of 7125 and 7122

Related Least Common Multiples of 7122

Related Least Common Multiples of 7125

Frequently Asked Questions on LCM of 7122 and 7125

1. What is the LCM of 7122 and 7125?

Answer: LCM of 7122 and 7125 is 16914750.

2. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

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 7122 and 7125?

Answer:

Least Common Multiple of 7122 and 7125 = 16914750

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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 = 16914750 = 2 x 3 x 5 x 5 x 5 x 19 x 1187

Step 4: Therefore, the least common multiple of 7122 and 7125 is 16914750.