Least Common Multiple (LCM) of 134 and 149
The least common multiple (LCM) of 134 and 149 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 134 and 149?
First, calculate the GCD of 134 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 149 = 0 remainder 134 |
| 2 | 149 ÷ 134 = 1 remainder 15 |
| 3 | 134 ÷ 15 = 8 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 76 | 9500 |
| 18 and 76 | 684 |
| 119 and 10 | 1190 |
| 96 and 30 | 480 |
| 31 and 188 | 5828 |