Least Common Multiple (LCM) of 149 and 134
The least common multiple (LCM) of 149 and 134 is 19966.
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 149 and 134?
First, calculate the GCD of 149 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 134 = 1 remainder 15 |
| 2 | 134 ÷ 15 = 8 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 40 | 4280 |
| 142 and 153 | 21726 |
| 10 and 86 | 430 |
| 146 and 97 | 14162 |
| 21 and 50 | 1050 |