Least Common Multiple of 118 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 118 and 120 the smallest integer that is 7080 that is divisible by both numbers.

Least Common Multiple (LCM) of 118 and 120 is 7080.

LCM(118,120) = 7080

LCM of 118 and 120

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

LCM of:
and

Least Common Multiple of 118 and 120

LCM of 118 and 120 is 7080

Least common multiple can be found by multiplying the highest exponent prime factors of 118 and 120. First we will calculate the prime factors of 118 and 120.

Prime Factorization of 118


2 118
59 59
1

Prime factors of 118 are 2,59. Prime factorization of 118 in exponential form is:

118 = 21×591

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 118 and 120.

LCM(118,120) = 23×31×51×591
LCM(118,120) = 7080

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1, 2, 59, 118

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 118 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 118 and 120, than apply into the LCM equation.

GCF(118,120) = 2
LCM(118,120) = ( 118 × 120) / 2
LCM(118,120) = 14160 / 2
LCM(118,120) = 7080

Properties of LCM 118 and 120

(i) The LCM of 120 and 118 is associative

LCM of 118 and 120 = LCM of 120 and 118

Related Least Common Multiples of 118

Related Least Common Multiples of 120

Frequently Asked Questions on LCM of 118 and 120

1. What is the LCM of 118 and 120?

Answer: LCM of 118 and 120 is 7080.

2. What are the Factors of 118?

Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.

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 118 and 120?

Answer:

Least Common Multiple of 118 and 120 = 7080

Step 1: Find the prime factorization of 118

118 = 2 x 59

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 = 7080 = 2 x 2 x 2 x 3 x 5 x 59

Step 4: Therefore, the least common multiple of 118 and 120 is 7080.