Least Common Multiple of 4102 and 4109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4102 and 4109 the smallest integer that is 2407874 that is divisible by both numbers.

Least Common Multiple (LCM) of 4102 and 4109 is 2407874.

LCM(4102,4109) = 2407874

LCM of 4102 and 4109

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

LCM of:
and

Least Common Multiple of 4102 and 4109

LCM of 4102 and 4109 is 2407874

Least common multiple can be found by multiplying the highest exponent prime factors of 4102 and 4109. First we will calculate the prime factors of 4102 and 4109.

Prime Factorization of 4102


2 4102
7 2051
293 293
1

Prime factors of 4102 are 2, 7,293. Prime factorization of 4102 in exponential form is:

4102 = 21×71×2931

Prime Factorization of 4109


7 4109
587 587
1

Prime factors of 4109 are 7,587. Prime factorization of 4109 in exponential form is:

4109 = 71×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 4102 and 4109.

LCM(4102,4109) = 21×71×2931×5871
LCM(4102,4109) = 2407874

Factors of 4102

List of positive integer factors of 4102 that divides 4102 without a remainder.

1, 2, 7, 14, 293, 586, 2051, 4102

Factors of 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1, 7, 587, 4109

Least Common Multiple of 4102 and 4109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4102 and 4109, than apply into the LCM equation.

GCF(4102,4109) = 7
LCM(4102,4109) = ( 4102 × 4109) / 7
LCM(4102,4109) = 16855118 / 7
LCM(4102,4109) = 2407874

Properties of LCM 4102 and 4109

(i) The LCM of 4109 and 4102 is associative

LCM of 4102 and 4109 = LCM of 4109 and 4102

Frequently Asked Questions on LCM of 4102 and 4109

1. What is the LCM of 4102 and 4109?

Answer: LCM of 4102 and 4109 is 2407874.

2. What are the Factors of 4102?

Answer: Factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102. There are 8 integers that are factors of 4102. The greatest factor of 4102 is 4102.

3. What are the Factors of 4109?

Answer: Factors of 4109 are 1, 7, 587, 4109. There are 4 integers that are factors of 4109. The greatest factor of 4109 is 4109.

4. How to Find the LCM of 4102 and 4109?

Answer:

Least Common Multiple of 4102 and 4109 = 2407874

Step 1: Find the prime factorization of 4102

4102 = 2 x 7 x 293

Step 2: Find the prime factorization of 4109

4109 = 7 x 587

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

LCM = 2407874 = 2 x 7 x 293 x 587

Step 4: Therefore, the least common multiple of 4102 and 4109 is 2407874.