Least Common Multiple (LCM) of 158 and 168
The least common multiple (LCM) of 158 and 168 is 13272.
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 168?
First, calculate the GCD of 158 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 168 = 0 remainder 158 |
| 2 | 168 ÷ 158 = 1 remainder 10 |
| 3 | 158 ÷ 10 = 15 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 115 | 11270 |
| 121 and 147 | 17787 |
| 177 and 92 | 16284 |
| 183 and 24 | 1464 |
| 97 and 103 | 9991 |