Least Common Multiple (LCM) of 98 and 158
The least common multiple (LCM) of 98 and 158 is 7742.
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 98 and 158?
First, calculate the GCD of 98 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 158 = 0 remainder 98 |
| 2 | 158 ÷ 98 = 1 remainder 60 |
| 3 | 98 ÷ 60 = 1 remainder 38 |
| 4 | 60 ÷ 38 = 1 remainder 22 |
| 5 | 38 ÷ 22 = 1 remainder 16 |
| 6 | 22 ÷ 16 = 1 remainder 6 |
| 7 | 16 ÷ 6 = 2 remainder 4 |
| 8 | 6 ÷ 4 = 1 remainder 2 |
| 9 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 136 | 26520 |
| 61 and 86 | 5246 |
| 162 and 158 | 12798 |
| 182 and 39 | 546 |
| 31 and 180 | 5580 |