Least Common Multiple of 4100 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 4100 and 4103 the smallest integer that is 16822300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4100 and 4103 is 16822300.

LCM(4100,4103) = 16822300

LCM of 4100 and 4103

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

LCM of:
and

Least Common Multiple of 4100 and 4103

LCM of 4100 and 4103 is 16822300

Least common multiple can be found by multiplying the highest exponent prime factors of 4100 and 4103. First we will calculate the prime factors of 4100 and 4103.

Prime Factorization of 4100


2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 4100 are 2, 5,41. Prime factorization of 4100 in exponential form is:

4100 = 22×52×411

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 4100 and 4103.

LCM(4100,4103) = 22×52×111×411×3731
LCM(4100,4103) = 16822300

Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

Factors of 4103

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

1, 11, 373, 4103

Least Common Multiple of 4100 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 4100 and 4103, than apply into the LCM equation.

GCF(4100,4103) = 1
LCM(4100,4103) = ( 4100 × 4103) / 1
LCM(4100,4103) = 16822300 / 1
LCM(4100,4103) = 16822300

Properties of LCM 4100 and 4103

(i) The LCM of 4103 and 4100 is associative

LCM of 4100 and 4103 = LCM of 4103 and 4100

Related Least Common Multiples of 4100

Related Least Common Multiples of 4103

Frequently Asked Questions on LCM of 4100 and 4103

1. What is the LCM of 4100 and 4103?

Answer: LCM of 4100 and 4103 is 16822300.

2. What are the Factors of 4100?

Answer: Factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100. There are 18 integers that are factors of 4100. The greatest factor of 4100 is 4100.

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 4100 and 4103?

Answer:

Least Common Multiple of 4100 and 4103 = 16822300

Step 1: Find the prime factorization of 4100

4100 = 2 x 2 x 5 x 5 x 41

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 = 16822300 = 2 x 2 x 5 x 5 x 11 x 41 x 373

Step 4: Therefore, the least common multiple of 4100 and 4103 is 16822300.