Least Common Multiple of 2102 and 2105

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 2105 the smallest integer that is 4424710 that is divisible by both numbers.

Least Common Multiple (LCM) of 2102 and 2105 is 4424710.

LCM(2102,2105) = 4424710

LCM of 2102 and 2105

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

LCM of:
and

Least Common Multiple of 2102 and 2105

LCM of 2102 and 2105 is 4424710

Least common multiple can be found by multiplying the highest exponent prime factors of 2102 and 2105. First we will calculate the prime factors of 2102 and 2105.

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 2105


5 2105
421 421
1

Prime factors of 2105 are 5,421. Prime factorization of 2105 in exponential form is:

2105 = 51×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 2102 and 2105.

LCM(2102,2105) = 21×51×4211×10511
LCM(2102,2105) = 4424710

Factors of 2102

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

1, 2, 1051, 2102

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1, 5, 421, 2105

Least Common Multiple of 2102 and 2105 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 2105, than apply into the LCM equation.

GCF(2102,2105) = 1
LCM(2102,2105) = ( 2102 × 2105) / 1
LCM(2102,2105) = 4424710 / 1
LCM(2102,2105) = 4424710

Properties of LCM 2102 and 2105

(i) The LCM of 2105 and 2102 is associative

LCM of 2102 and 2105 = LCM of 2105 and 2102

Related Least Common Multiples of 2102

Related Least Common Multiples of 2105

Frequently Asked Questions on LCM of 2102 and 2105

1. What is the LCM of 2102 and 2105?

Answer: LCM of 2102 and 2105 is 4424710.

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 2105?

Answer: Factors of 2105 are 1, 5, 421, 2105. There are 4 integers that are factors of 2105. The greatest factor of 2105 is 2105.

4. How to Find the LCM of 2102 and 2105?

Answer:

Least Common Multiple of 2102 and 2105 = 4424710

Step 1: Find the prime factorization of 2102

2102 = 2 x 1051

Step 2: Find the prime factorization of 2105

2105 = 5 x 421

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

LCM = 4424710 = 2 x 5 x 421 x 1051

Step 4: Therefore, the least common multiple of 2102 and 2105 is 4424710.