Least Common Multiple (LCM) of 101 and 134
The least common multiple (LCM) of 101 and 134 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 101 and 134?
First, calculate the GCD of 101 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 134 = 0 remainder 101 |
| 2 | 134 ÷ 101 = 1 remainder 33 |
| 3 | 101 ÷ 33 = 3 remainder 2 |
| 4 | 33 ÷ 2 = 16 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 38 | 3724 |
| 17 and 11 | 187 |
| 40 and 108 | 1080 |
| 199 and 40 | 7960 |
| 76 and 145 | 11020 |