Least Common Multiple (LCM) of 101 and 25
The least common multiple (LCM) of 101 and 25 is 2525.
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 101 and 25?
First, calculate the GCD of 101 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 25 = 4 remainder 1 |
| 2 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 49 | 5439 |
| 170 and 200 | 3400 |
| 17 and 56 | 952 |
| 98 and 171 | 16758 |
| 141 and 196 | 27636 |