Least Common Multiple of 116 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 116 and 120 the smallest integer that is 3480 that is divisible by both numbers.

Least Common Multiple (LCM) of 116 and 120 is 3480.

LCM(116,120) = 3480

LCM of 116 and 120

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

LCM of:
and

Least Common Multiple of 116 and 120

LCM of 116 and 120 is 3480

Least common multiple can be found by multiplying the highest exponent prime factors of 116 and 120. First we will calculate the prime factors of 116 and 120.

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

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 116 and 120.

LCM(116,120) = 23×31×51×291
LCM(116,120) = 3480

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 116 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 116 and 120, than apply into the LCM equation.

GCF(116,120) = 4
LCM(116,120) = ( 116 × 120) / 4
LCM(116,120) = 13920 / 4
LCM(116,120) = 3480

Properties of LCM 116 and 120

(i) The LCM of 120 and 116 is associative

LCM of 116 and 120 = LCM of 120 and 116

Related Least Common Multiples of 116

Related Least Common Multiples of 120

Frequently Asked Questions on LCM of 116 and 120

1. What is the LCM of 116 and 120?

Answer: LCM of 116 and 120 is 3480.

2. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

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 116 and 120?

Answer:

Least Common Multiple of 116 and 120 = 3480

Step 1: Find the prime factorization of 116

116 = 2 x 2 x 29

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 = 3480 = 2 x 2 x 2 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 116 and 120 is 3480.