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 |
|---|---|
| 91 and 148 | 13468 |
| 171 and 91 | 15561 |
| 77 and 82 | 6314 |
| 74 and 28 | 1036 |
| 136 and 73 | 9928 |