Least Common Multiple of 102 and 110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 102 and 110 the smallest integer that is 5610 that is divisible by both numbers.

Least Common Multiple (LCM) of 102 and 110 is 5610.

LCM(102,110) = 5610

LCM of 102 and 110

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

LCM of:
and

Least Common Multiple of 102 and 110

LCM of 102 and 110 is 5610

Least common multiple can be found by multiplying the highest exponent prime factors of 102 and 110. First we will calculate the prime factors of 102 and 110.

Prime Factorization of 102


2 102
3 51
17 17
1

Prime factors of 102 are 2, 3,17. Prime factorization of 102 in exponential form is:

102 = 21×31×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 102 and 110.

LCM(102,110) = 21×31×51×111×171
LCM(102,110) = 5610

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Factors of 110

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

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

Least Common Multiple of 102 and 110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 102 and 110, than apply into the LCM equation.

GCF(102,110) = 2
LCM(102,110) = ( 102 × 110) / 2
LCM(102,110) = 11220 / 2
LCM(102,110) = 5610

Properties of LCM 102 and 110

(i) The LCM of 110 and 102 is associative

LCM of 102 and 110 = LCM of 110 and 102

Related Least Common Multiples of 102

Related Least Common Multiples of 110

Frequently Asked Questions on LCM of 102 and 110

1. What is the LCM of 102 and 110?

Answer: LCM of 102 and 110 is 5610.

2. What are the Factors of 102?

Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.

3. 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.

4. How to Find the LCM of 102 and 110?

Answer:

Least Common Multiple of 102 and 110 = 5610

Step 1: Find the prime factorization of 102

102 = 2 x 3 x 17

Step 2: Find the prime factorization of 110

110 = 2 x 5 x 11

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

LCM = 5610 = 2 x 3 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 102 and 110 is 5610.