Least Common Multiple (LCM) of 148 and 87
The least common multiple (LCM) of 148 and 87 is 12876.
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 148 and 87?
First, calculate the GCD of 148 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 87 = 1 remainder 61 |
| 2 | 87 ÷ 61 = 1 remainder 26 |
| 3 | 61 ÷ 26 = 2 remainder 9 |
| 4 | 26 ÷ 9 = 2 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 178 | 1780 |
| 31 and 107 | 3317 |
| 200 and 123 | 24600 |
| 104 and 75 | 7800 |
| 75 and 184 | 13800 |