Least Common Multiple of 4109 and 4113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4109 and 4113 the smallest integer that is 16900317 that is divisible by both numbers.

Least Common Multiple (LCM) of 4109 and 4113 is 16900317.

LCM(4109,4113) = 16900317

LCM of 4109 and 4113

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

LCM of:
and

Least Common Multiple of 4109 and 4113

LCM of 4109 and 4113 is 16900317

Least common multiple can be found by multiplying the highest exponent prime factors of 4109 and 4113. First we will calculate the prime factors of 4109 and 4113.

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

Prime Factorization of 4113


3 4113
3 1371
457 457
1

Prime factors of 4113 are 3,457. Prime factorization of 4113 in exponential form is:

4113 = 32×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 4109 and 4113.

LCM(4109,4113) = 32×71×4571×5871
LCM(4109,4113) = 16900317

Factors of 4109

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

1, 7, 587, 4109

Factors of 4113

List of positive integer factors of 4113 that divides 4113 without a remainder.

1, 3, 9, 457, 1371, 4113

Least Common Multiple of 4109 and 4113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4109 and 4113, than apply into the LCM equation.

GCF(4109,4113) = 1
LCM(4109,4113) = ( 4109 × 4113) / 1
LCM(4109,4113) = 16900317 / 1
LCM(4109,4113) = 16900317

Properties of LCM 4109 and 4113

(i) The LCM of 4113 and 4109 is associative

LCM of 4109 and 4113 = LCM of 4113 and 4109

Related Least Common Multiples of 4109

Related Least Common Multiples of 4113

Frequently Asked Questions on LCM of 4109 and 4113

1. What is the LCM of 4109 and 4113?

Answer: LCM of 4109 and 4113 is 16900317.

2. 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.

3. What are the Factors of 4113?

Answer: Factors of 4113 are 1, 3, 9, 457, 1371, 4113. There are 6 integers that are factors of 4113. The greatest factor of 4113 is 4113.

4. How to Find the LCM of 4109 and 4113?

Answer:

Least Common Multiple of 4109 and 4113 = 16900317

Step 1: Find the prime factorization of 4109

4109 = 7 x 587

Step 2: Find the prime factorization of 4113

4113 = 3 x 3 x 457

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

LCM = 16900317 = 3 x 3 x 7 x 457 x 587

Step 4: Therefore, the least common multiple of 4109 and 4113 is 16900317.