Least Common Multiple (LCM) of 134 and 101
The least common multiple (LCM) of 134 and 101 is 13534.
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 134 and 101?
First, calculate the GCD of 134 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 101 = 1 remainder 33 |
| 2 | 101 ÷ 33 = 3 remainder 2 |
| 3 | 33 ÷ 2 = 16 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 42 | 714 |
| 60 and 199 | 11940 |
| 159 and 122 | 19398 |
| 80 and 169 | 13520 |
| 82 and 191 | 15662 |