Least Common Multiple (LCM) of 103 and 158
The least common multiple (LCM) of 103 and 158 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 103 and 158?
First, calculate the GCD of 103 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 158 = 0 remainder 103 |
| 2 | 158 ÷ 103 = 1 remainder 55 |
| 3 | 103 ÷ 55 = 1 remainder 48 |
| 4 | 55 ÷ 48 = 1 remainder 7 |
| 5 | 48 ÷ 7 = 6 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 43 | 2236 |
| 45 and 152 | 6840 |
| 22 and 31 | 682 |
| 118 and 197 | 23246 |
| 181 and 163 | 29503 |