Least Common Multiple of 110 and 116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 110 and 116 the smallest integer that is 6380 that is divisible by both numbers.

Least Common Multiple (LCM) of 110 and 116 is 6380.

LCM(110,116) = 6380

LCM of 110 and 116

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

LCM of:
and

Least Common Multiple of 110 and 116

LCM of 110 and 116 is 6380

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 116. First we will calculate the prime factors of 110 and 116.

Prime Factorization of 110


2 110
5 55
11 11
1

Prime factors of 110 are 2, 5,11. Prime factorization of 110 in exponential form is:

110 = 21×51×111

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

Now multiplying the highest exponent prime factors to calculate the LCM of 110 and 116.

LCM(110,116) = 22×51×111×291
LCM(110,116) = 6380

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Least Common Multiple of 110 and 116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 110 and 116, than apply into the LCM equation.

GCF(110,116) = 2
LCM(110,116) = ( 110 × 116) / 2
LCM(110,116) = 12760 / 2
LCM(110,116) = 6380

Properties of LCM 110 and 116

(i) The LCM of 116 and 110 is associative

LCM of 110 and 116 = LCM of 116 and 110

Related Least Common Multiples of 110

Related Least Common Multiples of 116

Frequently Asked Questions on LCM of 110 and 116

1. What is the LCM of 110 and 116?

Answer: LCM of 110 and 116 is 6380.

2. What are the Factors of 110?

Answer: Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. There are 8 integers that are factors of 110. The greatest factor of 110 is 110.

3. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

4. How to Find the LCM of 110 and 116?

Answer:

Least Common Multiple of 110 and 116 = 6380

Step 1: Find the prime factorization of 110

110 = 2 x 5 x 11

Step 2: Find the prime factorization of 116

116 = 2 x 2 x 29

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

LCM = 6380 = 2 x 2 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 110 and 116 is 6380.