Least Common Multiple (LCM) of 125 and 187
The least common multiple (LCM) of 125 and 187 is 23375.
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 187?
First, calculate the GCD of 125 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 187 = 0 remainder 125 |
| 2 | 187 ÷ 125 = 1 remainder 62 |
| 3 | 125 ÷ 62 = 2 remainder 1 |
| 4 | 62 ÷ 1 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 110 | 10340 |
| 157 and 88 | 13816 |
| 148 and 34 | 2516 |
| 21 and 71 | 1491 |
| 136 and 26 | 1768 |