Least Common Multiple (LCM) of 158 and 187
The least common multiple (LCM) of 158 and 187 is 29546.
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 187?
First, calculate the GCD of 158 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 187 = 0 remainder 158 |
| 2 | 187 ÷ 158 = 1 remainder 29 |
| 3 | 158 ÷ 29 = 5 remainder 13 |
| 4 | 29 ÷ 13 = 2 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 15 | 645 |
| 100 and 21 | 2100 |
| 139 and 18 | 2502 |
| 97 and 192 | 18624 |
| 21 and 74 | 1554 |