Least Common Multiple (LCM) of 125 and 179
The least common multiple (LCM) of 125 and 179 is 22375.
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 179?
First, calculate the GCD of 125 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 179 = 0 remainder 125 |
| 2 | 179 ÷ 125 = 1 remainder 54 |
| 3 | 125 ÷ 54 = 2 remainder 17 |
| 4 | 54 ÷ 17 = 3 remainder 3 |
| 5 | 17 ÷ 3 = 5 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 130 | 3250 |
| 176 and 77 | 1232 |
| 71 and 144 | 10224 |
| 113 and 164 | 18532 |
| 107 and 104 | 11128 |