Least Common Multiple (LCM) of 114 and 87
The least common multiple (LCM) of 114 and 87 is 3306.
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 114 and 87?
First, calculate the GCD of 114 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 87 = 1 remainder 27 |
| 2 | 87 ÷ 27 = 3 remainder 6 |
| 3 | 27 ÷ 6 = 4 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 52 | 676 |
| 67 and 108 | 7236 |
| 74 and 152 | 5624 |
| 44 and 39 | 1716 |
| 106 and 51 | 5406 |