Least Common Multiple (LCM) of 158 and 113
The least common multiple (LCM) of 158 and 113 is 17854.
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 113?
First, calculate the GCD of 158 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 113 = 1 remainder 45 |
| 2 | 113 ÷ 45 = 2 remainder 23 |
| 3 | 45 ÷ 23 = 1 remainder 22 |
| 4 | 23 ÷ 22 = 1 remainder 1 |
| 5 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 194 | 14938 |
| 25 and 160 | 800 |
| 49 and 127 | 6223 |
| 194 and 51 | 9894 |
| 140 and 155 | 4340 |