Least Common Multiple (LCM) of 118 and 140
The least common multiple (LCM) of 118 and 140 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 118 and 140?
First, calculate the GCD of 118 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 140 = 0 remainder 118 |
| 2 | 140 ÷ 118 = 1 remainder 22 |
| 3 | 118 ÷ 22 = 5 remainder 8 |
| 4 | 22 ÷ 8 = 2 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 147 | 18816 |
| 98 and 87 | 8526 |
| 187 and 89 | 16643 |
| 139 and 74 | 10286 |
| 137 and 200 | 27400 |