Least Common Multiple (LCM) of 118 and 120
The least common multiple (LCM) of 118 and 120 is 7080.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 118 and 120?
First, calculate the GCD of 118 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 120 = 0 remainder 118 |
| 2 | 120 ÷ 118 = 1 remainder 2 |
| 3 | 118 ÷ 2 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 85 | 1105 |
| 34 and 48 | 816 |
| 135 and 192 | 8640 |
| 101 and 43 | 4343 |
| 175 and 170 | 5950 |