Least Common Multiple of 7102 and 7110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7102 and 7110 the smallest integer that is 25247610 that is divisible by both numbers.

Least Common Multiple (LCM) of 7102 and 7110 is 25247610.

LCM(7102,7110) = 25247610

LCM of 7102 and 7110

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

LCM of:
and

Least Common Multiple of 7102 and 7110

LCM of 7102 and 7110 is 25247610

Least common multiple can be found by multiplying the highest exponent prime factors of 7102 and 7110. First we will calculate the prime factors of 7102 and 7110.

Prime Factorization of 7102


2 7102
53 3551
67 67
1

Prime factors of 7102 are 2, 53,67. Prime factorization of 7102 in exponential form is:

7102 = 21×531×671

Prime Factorization of 7110


2 7110
3 3555
3 1185
5 395
79 79
1

Prime factors of 7110 are 2, 3, 5,79. Prime factorization of 7110 in exponential form is:

7110 = 21×32×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7102 and 7110.

LCM(7102,7110) = 21×32×51×531×671×791
LCM(7102,7110) = 25247610

Factors of 7102

List of positive integer factors of 7102 that divides 7102 without a remainder.

1, 2, 53, 67, 106, 134, 3551, 7102

Factors of 7110

List of positive integer factors of 7110 that divides 7110 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110

Least Common Multiple of 7102 and 7110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7102 and 7110, than apply into the LCM equation.

GCF(7102,7110) = 2
LCM(7102,7110) = ( 7102 × 7110) / 2
LCM(7102,7110) = 50495220 / 2
LCM(7102,7110) = 25247610

Properties of LCM 7102 and 7110

(i) The LCM of 7110 and 7102 is associative

LCM of 7102 and 7110 = LCM of 7110 and 7102

Related Least Common Multiples of 7102

Related Least Common Multiples of 7110

Frequently Asked Questions on LCM of 7102 and 7110

1. What is the LCM of 7102 and 7110?

Answer: LCM of 7102 and 7110 is 25247610.

2. What are the Factors of 7102?

Answer: Factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102. There are 8 integers that are factors of 7102. The greatest factor of 7102 is 7102.

3. What are the Factors of 7110?

Answer: Factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110. There are 24 integers that are factors of 7110. The greatest factor of 7110 is 7110.

4. How to Find the LCM of 7102 and 7110?

Answer:

Least Common Multiple of 7102 and 7110 = 25247610

Step 1: Find the prime factorization of 7102

7102 = 2 x 53 x 67

Step 2: Find the prime factorization of 7110

7110 = 2 x 3 x 3 x 5 x 79

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

LCM = 25247610 = 2 x 3 x 3 x 5 x 53 x 67 x 79

Step 4: Therefore, the least common multiple of 7102 and 7110 is 25247610.