Least Common Multiple (LCM) of 139 and 158
The least common multiple (LCM) of 139 and 158 is 21962.
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 139 and 158?
First, calculate the GCD of 139 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 158 = 0 remainder 139 |
| 2 | 158 ÷ 139 = 1 remainder 19 |
| 3 | 139 ÷ 19 = 7 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 80 | 3920 |
| 196 and 118 | 11564 |
| 200 and 71 | 14200 |
| 168 and 113 | 18984 |
| 185 and 194 | 35890 |