Least Common Multiple (LCM) of 120 and 118
The least common multiple (LCM) of 120 and 118 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 120 and 118?
First, calculate the GCD of 120 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 118 = 1 remainder 2 |
| 2 | 118 ÷ 2 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 18 | 306 |
| 150 and 91 | 13650 |
| 142 and 30 | 2130 |
| 110 and 109 | 11990 |
| 28 and 40 | 280 |