Least Common Multiple of 4101 and 4103

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 4103 the smallest integer that is 16826403 that is divisible by both numbers.

Least Common Multiple (LCM) of 4101 and 4103 is 16826403.

LCM(4101,4103) = 16826403

LCM of 4101 and 4103

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

LCM of:
and

Least Common Multiple of 4101 and 4103

LCM of 4101 and 4103 is 16826403

Least common multiple can be found by multiplying the highest exponent prime factors of 4101 and 4103. First we will calculate the prime factors of 4101 and 4103.

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 4103


11 4103
373 373
1

Prime factors of 4103 are 11,373. Prime factorization of 4103 in exponential form is:

4103 = 111×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 4101 and 4103.

LCM(4101,4103) = 31×111×3731×13671
LCM(4101,4103) = 16826403

Factors of 4101

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

1, 3, 1367, 4101

Factors of 4103

List of positive integer factors of 4103 that divides 4103 without a remainder.

1, 11, 373, 4103

Least Common Multiple of 4101 and 4103 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 4103, than apply into the LCM equation.

GCF(4101,4103) = 1
LCM(4101,4103) = ( 4101 × 4103) / 1
LCM(4101,4103) = 16826403 / 1
LCM(4101,4103) = 16826403

Properties of LCM 4101 and 4103

(i) The LCM of 4103 and 4101 is associative

LCM of 4101 and 4103 = LCM of 4103 and 4101

Related Least Common Multiples of 4101

Related Least Common Multiples of 4103

Frequently Asked Questions on LCM of 4101 and 4103

1. What is the LCM of 4101 and 4103?

Answer: LCM of 4101 and 4103 is 16826403.

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 4103?

Answer: Factors of 4103 are 1, 11, 373, 4103. There are 4 integers that are factors of 4103. The greatest factor of 4103 is 4103.

4. How to Find the LCM of 4101 and 4103?

Answer:

Least Common Multiple of 4101 and 4103 = 16826403

Step 1: Find the prime factorization of 4101

4101 = 3 x 1367

Step 2: Find the prime factorization of 4103

4103 = 11 x 373

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

LCM = 16826403 = 3 x 11 x 373 x 1367

Step 4: Therefore, the least common multiple of 4101 and 4103 is 16826403.