Least Common Multiple of 117 and 119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 117 and 119 the smallest integer that is 13923 that is divisible by both numbers.

Least Common Multiple (LCM) of 117 and 119 is 13923.

LCM(117,119) = 13923

LCM of 117 and 119

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

LCM of:
and

Least Common Multiple of 117 and 119

LCM of 117 and 119 is 13923

Least common multiple can be found by multiplying the highest exponent prime factors of 117 and 119. First we will calculate the prime factors of 117 and 119.

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

Prime Factorization of 119


7 119
17 17
1

Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:

119 = 71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 117 and 119.

LCM(117,119) = 32×71×131×171
LCM(117,119) = 13923

Factors of 117

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

1, 3, 9, 13, 39, 117

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Least Common Multiple of 117 and 119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 117 and 119, than apply into the LCM equation.

GCF(117,119) = 1
LCM(117,119) = ( 117 × 119) / 1
LCM(117,119) = 13923 / 1
LCM(117,119) = 13923

Properties of LCM 117 and 119

(i) The LCM of 119 and 117 is associative

LCM of 117 and 119 = LCM of 119 and 117

Related Least Common Multiples of 117

Related Least Common Multiples of 119

Frequently Asked Questions on LCM of 117 and 119

1. What is the LCM of 117 and 119?

Answer: LCM of 117 and 119 is 13923.

2. 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.

3. What are the Factors of 119?

Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.

4. How to Find the LCM of 117 and 119?

Answer:

Least Common Multiple of 117 and 119 = 13923

Step 1: Find the prime factorization of 117

117 = 3 x 3 x 13

Step 2: Find the prime factorization of 119

119 = 7 x 17

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

LCM = 13923 = 3 x 3 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 117 and 119 is 13923.