Least Common Multiple of 4103 and 4110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4103 and 4110 the smallest integer that is 16863330 that is divisible by both numbers.

Least Common Multiple (LCM) of 4103 and 4110 is 16863330.

LCM(4103,4110) = 16863330

LCM of 4103 and 4110

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

LCM of:
and

Least Common Multiple of 4103 and 4110

LCM of 4103 and 4110 is 16863330

Least common multiple can be found by multiplying the highest exponent prime factors of 4103 and 4110. First we will calculate the prime factors of 4103 and 4110.

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

Prime Factorization of 4110


2 4110
3 2055
5 685
137 137
1

Prime factors of 4110 are 2, 3, 5,137. Prime factorization of 4110 in exponential form is:

4110 = 21×31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4103 and 4110.

LCM(4103,4110) = 21×31×51×111×1371×3731
LCM(4103,4110) = 16863330

Factors of 4103

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

1, 11, 373, 4103

Factors of 4110

List of positive integer factors of 4110 that divides 4110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110

Least Common Multiple of 4103 and 4110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4103 and 4110, than apply into the LCM equation.

GCF(4103,4110) = 1
LCM(4103,4110) = ( 4103 × 4110) / 1
LCM(4103,4110) = 16863330 / 1
LCM(4103,4110) = 16863330

Properties of LCM 4103 and 4110

(i) The LCM of 4110 and 4103 is associative

LCM of 4103 and 4110 = LCM of 4110 and 4103

Related Least Common Multiples of 4103

Related Least Common Multiples of 4110

Frequently Asked Questions on LCM of 4103 and 4110

1. What is the LCM of 4103 and 4110?

Answer: LCM of 4103 and 4110 is 16863330.

2. 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.

3. What are the Factors of 4110?

Answer: Factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110. There are 16 integers that are factors of 4110. The greatest factor of 4110 is 4110.

4. How to Find the LCM of 4103 and 4110?

Answer:

Least Common Multiple of 4103 and 4110 = 16863330

Step 1: Find the prime factorization of 4103

4103 = 11 x 373

Step 2: Find the prime factorization of 4110

4110 = 2 x 3 x 5 x 137

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

LCM = 16863330 = 2 x 3 x 5 x 11 x 137 x 373

Step 4: Therefore, the least common multiple of 4103 and 4110 is 16863330.