Least Common Multiple (LCM) of 146 and 87
The least common multiple (LCM) of 146 and 87 is 12702.
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 146 and 87?
First, calculate the GCD of 146 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 87 = 1 remainder 59 |
| 2 | 87 ÷ 59 = 1 remainder 28 |
| 3 | 59 ÷ 28 = 2 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 55 | 495 |
| 138 and 199 | 27462 |
| 18 and 24 | 72 |
| 142 and 47 | 6674 |
| 20 and 70 | 140 |