Least Common Multiple of 107 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 107 and 110 the smallest integer that is 11770 that is divisible by both numbers.

Least Common Multiple (LCM) of 107 and 110 is 11770.

LCM(107,110) = 11770

LCM of 107 and 110

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

LCM of:
and

Least Common Multiple of 107 and 110

LCM of 107 and 110 is 11770

Least common multiple can be found by multiplying the highest exponent prime factors of 107 and 110. First we will calculate the prime factors of 107 and 110.

Prime Factorization of 107


107 107
1

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

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 107 and 110.

LCM(107,110) = 21×51×111×1071
LCM(107,110) = 11770

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1, 107

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 107 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 107 and 110, than apply into the LCM equation.

GCF(107,110) = 1
LCM(107,110) = ( 107 × 110) / 1
LCM(107,110) = 11770 / 1
LCM(107,110) = 11770

Properties of LCM 107 and 110

(i) The LCM of 110 and 107 is associative

LCM of 107 and 110 = LCM of 110 and 107

Related Least Common Multiples of 107

Related Least Common Multiples of 110

Frequently Asked Questions on LCM of 107 and 110

1. What is the LCM of 107 and 110?

Answer: LCM of 107 and 110 is 11770.

2. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

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 107 and 110?

Answer:

Least Common Multiple of 107 and 110 = 11770

Step 1: Find the prime factorization of 107

107 = 107

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 = 11770 = 2 x 5 x 11 x 107

Step 4: Therefore, the least common multiple of 107 and 110 is 11770.