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 |
|---|---|
| 189 and 19 | 3591 |
| 191 and 135 | 25785 |
| 141 and 74 | 10434 |
| 176 and 67 | 11792 |
| 161 and 136 | 21896 |