Least Common Multiple (LCM) of 158 and 87
The least common multiple (LCM) of 158 and 87 is 13746.
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 87?
First, calculate the GCD of 158 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 87 = 1 remainder 71 |
| 2 | 87 ÷ 71 = 1 remainder 16 |
| 3 | 71 ÷ 16 = 4 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 145 | 870 |
| 135 and 155 | 4185 |
| 52 and 156 | 156 |
| 25 and 12 | 300 |
| 155 and 193 | 29915 |