Least Common Multiple of 7107 and 7110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7107 and 7110 the smallest integer that is 16843590 that is divisible by both numbers.

Least Common Multiple (LCM) of 7107 and 7110 is 16843590.

LCM(7107,7110) = 16843590

LCM of 7107 and 7110

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

LCM of:
and

Least Common Multiple of 7107 and 7110

LCM of 7107 and 7110 is 16843590

Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7110. First we will calculate the prime factors of 7107 and 7110.

Prime Factorization of 7107


3 7107
23 2369
103 103
1

Prime factors of 7107 are 3, 23,103. Prime factorization of 7107 in exponential form is:

7107 = 31×231×1031

Prime Factorization of 7110


2 7110
3 3555
3 1185
5 395
79 79
1

Prime factors of 7110 are 2, 3, 5,79. Prime factorization of 7110 in exponential form is:

7110 = 21×32×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7110.

LCM(7107,7110) = 21×32×51×231×791×1031
LCM(7107,7110) = 16843590

Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1, 3, 23, 69, 103, 309, 2369, 7107

Factors of 7110

List of positive integer factors of 7110 that divides 7110 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110

Least Common Multiple of 7107 and 7110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7107 and 7110, than apply into the LCM equation.

GCF(7107,7110) = 3
LCM(7107,7110) = ( 7107 × 7110) / 3
LCM(7107,7110) = 50530770 / 3
LCM(7107,7110) = 16843590

Properties of LCM 7107 and 7110

(i) The LCM of 7110 and 7107 is associative

LCM of 7107 and 7110 = LCM of 7110 and 7107

Related Least Common Multiples of 7107

Related Least Common Multiples of 7110

Frequently Asked Questions on LCM of 7107 and 7110

1. What is the LCM of 7107 and 7110?

Answer: LCM of 7107 and 7110 is 16843590.

2. What are the Factors of 7107?

Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.

3. What are the Factors of 7110?

Answer: Factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110. There are 24 integers that are factors of 7110. The greatest factor of 7110 is 7110.

4. How to Find the LCM of 7107 and 7110?

Answer:

Least Common Multiple of 7107 and 7110 = 16843590

Step 1: Find the prime factorization of 7107

7107 = 3 x 23 x 103

Step 2: Find the prime factorization of 7110

7110 = 2 x 3 x 3 x 5 x 79

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

LCM = 16843590 = 2 x 3 x 3 x 5 x 23 x 79 x 103

Step 4: Therefore, the least common multiple of 7107 and 7110 is 16843590.