Least Common Multiple (LCM) of 158 and 103
The least common multiple (LCM) of 158 and 103 is 16274.
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 103?
First, calculate the GCD of 158 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 103 = 1 remainder 55 |
| 2 | 103 ÷ 55 = 1 remainder 48 |
| 3 | 55 ÷ 48 = 1 remainder 7 |
| 4 | 48 ÷ 7 = 6 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 11 | 1309 |
| 103 and 162 | 16686 |
| 176 and 161 | 28336 |
| 36 and 159 | 1908 |
| 199 and 102 | 20298 |