Least Common Multiple (LCM) of 101 and 100
The least common multiple (LCM) of 101 and 100 is 10100.
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 100?
First, calculate the GCD of 101 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 100 = 1 remainder 1 |
| 2 | 100 ÷ 1 = 100 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 57 | 3705 |
| 15 and 67 | 1005 |
| 119 and 64 | 7616 |
| 105 and 125 | 2625 |
| 54 and 179 | 9666 |