Least Common Multiple (LCM) of 125 and 87
The least common multiple (LCM) of 125 and 87 is 10875.
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 125 and 87?
First, calculate the GCD of 125 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 87 = 1 remainder 38 |
| 2 | 87 ÷ 38 = 2 remainder 11 |
| 3 | 38 ÷ 11 = 3 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 54 | 5778 |
| 52 and 112 | 1456 |
| 149 and 54 | 8046 |
| 99 and 121 | 1089 |
| 199 and 190 | 37810 |