Least Common Multiple of 2102 and 2110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2102 and 2110 the smallest integer that is 2217610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2102 and 2110 is 2217610.

LCM(2102,2110) = 2217610

LCM of 2102 and 2110

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

LCM of:
and

Least Common Multiple of 2102 and 2110

LCM of 2102 and 2110 is 2217610

Least common multiple can be found by multiplying the highest exponent prime factors of 2102 and 2110. First we will calculate the prime factors of 2102 and 2110.

Prime Factorization of 2102


2 2102
1051 1051
1

Prime factors of 2102 are 2,1051. Prime factorization of 2102 in exponential form is:

2102 = 21×10511

Prime Factorization of 2110


2 2110
5 1055
211 211
1

Prime factors of 2110 are 2, 5,211. Prime factorization of 2110 in exponential form is:

2110 = 21×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2102 and 2110.

LCM(2102,2110) = 21×51×2111×10511
LCM(2102,2110) = 2217610

Factors of 2102

List of positive integer factors of 2102 that divides 2102 without a remainder.

1, 2, 1051, 2102

Factors of 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1, 2, 5, 10, 211, 422, 1055, 2110

Least Common Multiple of 2102 and 2110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2102 and 2110, than apply into the LCM equation.

GCF(2102,2110) = 2
LCM(2102,2110) = ( 2102 × 2110) / 2
LCM(2102,2110) = 4435220 / 2
LCM(2102,2110) = 2217610

Properties of LCM 2102 and 2110

(i) The LCM of 2110 and 2102 is associative

LCM of 2102 and 2110 = LCM of 2110 and 2102

Related Least Common Multiples of 2102

Related Least Common Multiples of 2110

Frequently Asked Questions on LCM of 2102 and 2110

1. What is the LCM of 2102 and 2110?

Answer: LCM of 2102 and 2110 is 2217610.

2. What are the Factors of 2102?

Answer: Factors of 2102 are 1, 2, 1051, 2102. There are 4 integers that are factors of 2102. The greatest factor of 2102 is 2102.

3. What are the Factors of 2110?

Answer: Factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110. There are 8 integers that are factors of 2110. The greatest factor of 2110 is 2110.

4. How to Find the LCM of 2102 and 2110?

Answer:

Least Common Multiple of 2102 and 2110 = 2217610

Step 1: Find the prime factorization of 2102

2102 = 2 x 1051

Step 2: Find the prime factorization of 2110

2110 = 2 x 5 x 211

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

LCM = 2217610 = 2 x 5 x 211 x 1051

Step 4: Therefore, the least common multiple of 2102 and 2110 is 2217610.