Least Common Multiple (LCM) of 101 and 97
The least common multiple (LCM) of 101 and 97 is 9797.
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 97?
First, calculate the GCD of 101 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 97 = 1 remainder 4 |
| 2 | 97 ÷ 4 = 24 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 19 | 3287 |
| 111 and 10 | 1110 |
| 108 and 72 | 216 |
| 29 and 39 | 1131 |
| 164 and 117 | 19188 |