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 |
|---|---|
| 87 and 45 | 1305 |
| 86 and 96 | 4128 |
| 182 and 89 | 16198 |
| 40 and 195 | 1560 |
| 160 and 166 | 13280 |