Least Common Multiple of 4101 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 4101 and 4109 the smallest integer that is 16851009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4101 and 4109 is 16851009.

LCM(4101,4109) = 16851009

LCM of 4101 and 4109

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

LCM of:
and

Least Common Multiple of 4101 and 4109

LCM of 4101 and 4109 is 16851009

Least common multiple can be found by multiplying the highest exponent prime factors of 4101 and 4109. First we will calculate the prime factors of 4101 and 4109.

Prime Factorization of 4101


3 4101
1367 1367
1

Prime factors of 4101 are 3,1367. Prime factorization of 4101 in exponential form is:

4101 = 31×13671

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 4101 and 4109.

LCM(4101,4109) = 31×71×5871×13671
LCM(4101,4109) = 16851009

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1, 3, 1367, 4101

Factors of 4109

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

1, 7, 587, 4109

Least Common Multiple of 4101 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 4101 and 4109, than apply into the LCM equation.

GCF(4101,4109) = 1
LCM(4101,4109) = ( 4101 × 4109) / 1
LCM(4101,4109) = 16851009 / 1
LCM(4101,4109) = 16851009

Properties of LCM 4101 and 4109

(i) The LCM of 4109 and 4101 is associative

LCM of 4101 and 4109 = LCM of 4109 and 4101

Related Least Common Multiples of 4101

Related Least Common Multiples of 4109

Frequently Asked Questions on LCM of 4101 and 4109

1. What is the LCM of 4101 and 4109?

Answer: LCM of 4101 and 4109 is 16851009.

2. What are the Factors of 4101?

Answer: Factors of 4101 are 1, 3, 1367, 4101. There are 4 integers that are factors of 4101. The greatest factor of 4101 is 4101.

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 4101 and 4109?

Answer:

Least Common Multiple of 4101 and 4109 = 16851009

Step 1: Find the prime factorization of 4101

4101 = 3 x 1367

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 = 16851009 = 3 x 7 x 587 x 1367

Step 4: Therefore, the least common multiple of 4101 and 4109 is 16851009.