Least Common Multiple of 113 and 117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 113 and 117 the smallest integer that is 13221 that is divisible by both numbers.

Least Common Multiple (LCM) of 113 and 117 is 13221.

LCM(113,117) = 13221

LCM of 113 and 117

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

LCM of:
and

Least Common Multiple of 113 and 117

LCM of 113 and 117 is 13221

Least common multiple can be found by multiplying the highest exponent prime factors of 113 and 117. First we will calculate the prime factors of 113 and 117.

Prime Factorization of 113


113 113
1

Prime factors of 113 are 113. Prime factorization of 113 in exponential form is:

113 = 1131

Prime Factorization of 117


3 117
3 39
13 13
1

Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:

117 = 32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 113 and 117.

LCM(113,117) = 32×131×1131
LCM(113,117) = 13221

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1, 113

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Least Common Multiple of 113 and 117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 113 and 117, than apply into the LCM equation.

GCF(113,117) = 1
LCM(113,117) = ( 113 × 117) / 1
LCM(113,117) = 13221 / 1
LCM(113,117) = 13221

Properties of LCM 113 and 117

(i) The LCM of 117 and 113 is associative

LCM of 113 and 117 = LCM of 117 and 113

Related Least Common Multiples of 113

Related Least Common Multiples of 117

Frequently Asked Questions on LCM of 113 and 117

1. What is the LCM of 113 and 117?

Answer: LCM of 113 and 117 is 13221.

2. What are the Factors of 113?

Answer: Factors of 113 are 1, 113. There are 2 integers that are factors of 113. The greatest factor of 113 is 113.

3. What are the Factors of 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

4. How to Find the LCM of 113 and 117?

Answer:

Least Common Multiple of 113 and 117 = 13221

Step 1: Find the prime factorization of 113

113 = 113

Step 2: Find the prime factorization of 117

117 = 3 x 3 x 13

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

LCM = 13221 = 3 x 3 x 13 x 113

Step 4: Therefore, the least common multiple of 113 and 117 is 13221.