Least Common Multiple (LCM) of 101 and 34
The least common multiple (LCM) of 101 and 34 is 3434.
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 34?
First, calculate the GCD of 101 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 34 = 2 remainder 33 |
| 2 | 34 ÷ 33 = 1 remainder 1 |
| 3 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 124 | 12772 |
| 18 and 68 | 612 |
| 148 and 29 | 4292 |
| 41 and 85 | 3485 |
| 122 and 65 | 7930 |