Least Common Multiple of 6110 and 6118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6110 and 6118 the smallest integer that is 18690490 that is divisible by both numbers.

Least Common Multiple (LCM) of 6110 and 6118 is 18690490.

LCM(6110,6118) = 18690490

LCM of 6110 and 6118

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

LCM of:
and

Least Common Multiple of 6110 and 6118

LCM of 6110 and 6118 is 18690490

Least common multiple can be found by multiplying the highest exponent prime factors of 6110 and 6118. First we will calculate the prime factors of 6110 and 6118.

Prime Factorization of 6110


2 6110
5 3055
13 611
47 47
1

Prime factors of 6110 are 2, 5, 13,47. Prime factorization of 6110 in exponential form is:

6110 = 21×51×131×471

Prime Factorization of 6118


2 6118
7 3059
19 437
23 23
1

Prime factors of 6118 are 2, 7, 19,23. Prime factorization of 6118 in exponential form is:

6118 = 21×71×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6110 and 6118.

LCM(6110,6118) = 21×51×71×131×191×231×471
LCM(6110,6118) = 18690490

Factors of 6110

List of positive integer factors of 6110 that divides 6110 without a remainder.

1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110

Factors of 6118

List of positive integer factors of 6118 that divides 6118 without a remainder.

1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118

Least Common Multiple of 6110 and 6118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6110 and 6118, than apply into the LCM equation.

GCF(6110,6118) = 2
LCM(6110,6118) = ( 6110 × 6118) / 2
LCM(6110,6118) = 37380980 / 2
LCM(6110,6118) = 18690490

Properties of LCM 6110 and 6118

(i) The LCM of 6118 and 6110 is associative

LCM of 6110 and 6118 = LCM of 6118 and 6110

Related Least Common Multiples of 6110

Related Least Common Multiples of 6118

Frequently Asked Questions on LCM of 6110 and 6118

1. What is the LCM of 6110 and 6118?

Answer: LCM of 6110 and 6118 is 18690490.

2. What are the Factors of 6110?

Answer: Factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110. There are 16 integers that are factors of 6110. The greatest factor of 6110 is 6110.

3. What are the Factors of 6118?

Answer: Factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118. There are 16 integers that are factors of 6118. The greatest factor of 6118 is 6118.

4. How to Find the LCM of 6110 and 6118?

Answer:

Least Common Multiple of 6110 and 6118 = 18690490

Step 1: Find the prime factorization of 6110

6110 = 2 x 5 x 13 x 47

Step 2: Find the prime factorization of 6118

6118 = 2 x 7 x 19 x 23

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

LCM = 18690490 = 2 x 5 x 7 x 13 x 19 x 23 x 47

Step 4: Therefore, the least common multiple of 6110 and 6118 is 18690490.