Least Common Multiple (LCM) of 125 and 116
The least common multiple (LCM) of 125 and 116 is 14500.
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 116?
First, calculate the GCD of 125 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 116 = 1 remainder 9 |
| 2 | 116 ÷ 9 = 12 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 107 | 17120 |
| 120 and 163 | 19560 |
| 133 and 23 | 3059 |
| 169 and 199 | 33631 |
| 125 and 199 | 24875 |