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 |
|---|---|
| 199 and 87 | 17313 |
| 90 and 53 | 4770 |
| 192 and 183 | 11712 |
| 126 and 18 | 126 |
| 100 and 46 | 2300 |