Least Common Multiple (LCM) of 140 and 118
The least common multiple (LCM) of 140 and 118 is 8260.
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 140 and 118?
First, calculate the GCD of 140 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 118 = 1 remainder 22 |
| 2 | 118 ÷ 22 = 5 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 145 | 21170 |
| 47 and 85 | 3995 |
| 38 and 27 | 1026 |
| 77 and 94 | 7238 |
| 191 and 24 | 4584 |