Least Common Multiple (LCM) of 87 and 146
The least common multiple (LCM) of 87 and 146 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 87 and 146?
First, calculate the GCD of 87 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 146 = 0 remainder 87 |
| 2 | 146 ÷ 87 = 1 remainder 59 |
| 3 | 87 ÷ 59 = 1 remainder 28 |
| 4 | 59 ÷ 28 = 2 remainder 3 |
| 5 | 28 ÷ 3 = 9 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 110 | 10670 |
| 195 and 42 | 2730 |
| 65 and 78 | 390 |
| 186 and 188 | 17484 |
| 69 and 101 | 6969 |