Least Common Multiple (LCM) of 125 and 101
The least common multiple (LCM) of 125 and 101 is 12625.
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 101?
First, calculate the GCD of 125 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 101 = 1 remainder 24 |
| 2 | 101 ÷ 24 = 4 remainder 5 |
| 3 | 24 ÷ 5 = 4 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 199 | 3184 |
| 128 and 97 | 12416 |
| 66 and 185 | 12210 |
| 126 and 79 | 9954 |
| 98 and 78 | 3822 |