Least Common Multiple of 3102 and 3110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3102 and 3110 the smallest integer that is 4823610 that is divisible by both numbers.

Least Common Multiple (LCM) of 3102 and 3110 is 4823610.

LCM(3102,3110) = 4823610

LCM of 3102 and 3110

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

LCM of:
and

Least Common Multiple of 3102 and 3110

LCM of 3102 and 3110 is 4823610

Least common multiple can be found by multiplying the highest exponent prime factors of 3102 and 3110. First we will calculate the prime factors of 3102 and 3110.

Prime Factorization of 3102


2 3102
3 1551
11 517
47 47
1

Prime factors of 3102 are 2, 3, 11,47. Prime factorization of 3102 in exponential form is:

3102 = 21×31×111×471

Prime Factorization of 3110


2 3110
5 1555
311 311
1

Prime factors of 3110 are 2, 5,311. Prime factorization of 3110 in exponential form is:

3110 = 21×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 3102 and 3110.

LCM(3102,3110) = 21×31×51×111×471×3111
LCM(3102,3110) = 4823610

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102

Factors of 3110

List of positive integer factors of 3110 that divides 3110 without a remainder.

1, 2, 5, 10, 311, 622, 1555, 3110

Least Common Multiple of 3102 and 3110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3102 and 3110, than apply into the LCM equation.

GCF(3102,3110) = 2
LCM(3102,3110) = ( 3102 × 3110) / 2
LCM(3102,3110) = 9647220 / 2
LCM(3102,3110) = 4823610

Properties of LCM 3102 and 3110

(i) The LCM of 3110 and 3102 is associative

LCM of 3102 and 3110 = LCM of 3110 and 3102

Related Least Common Multiples of 3102

Related Least Common Multiples of 3110

Frequently Asked Questions on LCM of 3102 and 3110

1. What is the LCM of 3102 and 3110?

Answer: LCM of 3102 and 3110 is 4823610.

2. What are the Factors of 3102?

Answer: Factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102. There are 16 integers that are factors of 3102. The greatest factor of 3102 is 3102.

3. What are the Factors of 3110?

Answer: Factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. There are 8 integers that are factors of 3110. The greatest factor of 3110 is 3110.

4. How to Find the LCM of 3102 and 3110?

Answer:

Least Common Multiple of 3102 and 3110 = 4823610

Step 1: Find the prime factorization of 3102

3102 = 2 x 3 x 11 x 47

Step 2: Find the prime factorization of 3110

3110 = 2 x 5 x 311

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

LCM = 4823610 = 2 x 3 x 5 x 11 x 47 x 311

Step 4: Therefore, the least common multiple of 3102 and 3110 is 4823610.