Least Common Multiple (LCM) of 86 and 125
The least common multiple (LCM) of 86 and 125 is 10750.
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 86 and 125?
First, calculate the GCD of 86 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 125 = 0 remainder 86 |
| 2 | 125 ÷ 86 = 1 remainder 39 |
| 3 | 86 ÷ 39 = 2 remainder 8 |
| 4 | 39 ÷ 8 = 4 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 150 | 8850 |
| 138 and 136 | 9384 |
| 84 and 141 | 3948 |
| 57 and 56 | 3192 |
| 96 and 145 | 13920 |