Least Common Multiple of 113 and 120

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 120 the smallest integer that is 13560 that is divisible by both numbers.

Least Common Multiple (LCM) of 113 and 120 is 13560.

LCM(113,120) = 13560

LCM of 113 and 120

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

LCM of:
and

Least Common Multiple of 113 and 120

LCM of 113 and 120 is 13560

Least common multiple can be found by multiplying the highest exponent prime factors of 113 and 120. First we will calculate the prime factors of 113 and 120.

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 120


2 120
2 60
2 30
3 15
5 5
1

Prime factors of 120 are 2, 3,5. Prime factorization of 120 in exponential form is:

120 = 23×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 113 and 120.

LCM(113,120) = 23×31×51×1131
LCM(113,120) = 13560

Factors of 113

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

1, 113

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Least Common Multiple of 113 and 120 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 120, than apply into the LCM equation.

GCF(113,120) = 1
LCM(113,120) = ( 113 × 120) / 1
LCM(113,120) = 13560 / 1
LCM(113,120) = 13560

Properties of LCM 113 and 120

(i) The LCM of 120 and 113 is associative

LCM of 113 and 120 = LCM of 120 and 113

Related Least Common Multiples of 113

Related Least Common Multiples of 120

Frequently Asked Questions on LCM of 113 and 120

1. What is the LCM of 113 and 120?

Answer: LCM of 113 and 120 is 13560.

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 120?

Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.

4. How to Find the LCM of 113 and 120?

Answer:

Least Common Multiple of 113 and 120 = 13560

Step 1: Find the prime factorization of 113

113 = 113

Step 2: Find the prime factorization of 120

120 = 2 x 2 x 2 x 3 x 5

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

LCM = 13560 = 2 x 2 x 2 x 3 x 5 x 113

Step 4: Therefore, the least common multiple of 113 and 120 is 13560.