Least Common Multiple (LCM) of 158 and 98
The least common multiple (LCM) of 158 and 98 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 158 and 98?
First, calculate the GCD of 158 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 98 = 1 remainder 60 |
| 2 | 98 ÷ 60 = 1 remainder 38 |
| 3 | 60 ÷ 38 = 1 remainder 22 |
| 4 | 38 ÷ 22 = 1 remainder 16 |
| 5 | 22 ÷ 16 = 1 remainder 6 |
| 6 | 16 ÷ 6 = 2 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 99 | 3960 |
| 67 and 200 | 13400 |
| 143 and 82 | 11726 |
| 114 and 102 | 1938 |
| 21 and 166 | 3486 |