Least Common Multiple (LCM) of 140 and 158
The least common multiple (LCM) of 140 and 158 is 11060.
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 158?
First, calculate the GCD of 140 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 158 = 0 remainder 140 |
| 2 | 158 ÷ 140 = 1 remainder 18 |
| 3 | 140 ÷ 18 = 7 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 31 | 1209 |
| 198 and 164 | 16236 |
| 34 and 169 | 5746 |
| 147 and 135 | 6615 |
| 179 and 174 | 31146 |