Least Common Multiple (LCM) of 125 and 188
The least common multiple (LCM) of 125 and 188 is 23500.
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 188?
First, calculate the GCD of 125 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 188 = 0 remainder 125 |
| 2 | 188 ÷ 125 = 1 remainder 63 |
| 3 | 125 ÷ 63 = 1 remainder 62 |
| 4 | 63 ÷ 62 = 1 remainder 1 |
| 5 | 62 ÷ 1 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 93 | 1302 |
| 48 and 105 | 1680 |
| 146 and 31 | 4526 |
| 195 and 139 | 27105 |
| 166 and 128 | 10624 |