Least Common Multiple of 110 and 114

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 114 the smallest integer that is 6270 that is divisible by both numbers.

Least Common Multiple (LCM) of 110 and 114 is 6270.

LCM(110,114) = 6270

LCM of 110 and 114

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

LCM of:
and

Least Common Multiple of 110 and 114

LCM of 110 and 114 is 6270

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 114. First we will calculate the prime factors of 110 and 114.

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 114


2 114
3 57
19 19
1

Prime factors of 114 are 2, 3,19. Prime factorization of 114 in exponential form is:

114 = 21×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 110 and 114.

LCM(110,114) = 21×31×51×111×191
LCM(110,114) = 6270

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 114

List of positive integer factors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Least Common Multiple of 110 and 114 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 114, than apply into the LCM equation.

GCF(110,114) = 2
LCM(110,114) = ( 110 × 114) / 2
LCM(110,114) = 12540 / 2
LCM(110,114) = 6270

Properties of LCM 110 and 114

(i) The LCM of 114 and 110 is associative

LCM of 110 and 114 = LCM of 114 and 110

Related Least Common Multiples of 110

Related Least Common Multiples of 114

Frequently Asked Questions on LCM of 110 and 114

1. What is the LCM of 110 and 114?

Answer: LCM of 110 and 114 is 6270.

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 114?

Answer: Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. There are 8 integers that are factors of 114. The greatest factor of 114 is 114.

4. How to Find the LCM of 110 and 114?

Answer:

Least Common Multiple of 110 and 114 = 6270

Step 1: Find the prime factorization of 110

110 = 2 x 5 x 11

Step 2: Find the prime factorization of 114

114 = 2 x 3 x 19

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

LCM = 6270 = 2 x 3 x 5 x 11 x 19

Step 4: Therefore, the least common multiple of 110 and 114 is 6270.