Least Common Multiple (LCM) of 125 and 69
The least common multiple (LCM) of 125 and 69 is 8625.
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 69?
First, calculate the GCD of 125 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 69 = 1 remainder 56 |
| 2 | 69 ÷ 56 = 1 remainder 13 |
| 3 | 56 ÷ 13 = 4 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 188 | 20868 |
| 143 and 10 | 1430 |
| 23 and 59 | 1357 |
| 122 and 147 | 17934 |
| 176 and 35 | 6160 |