Least Common Multiple (LCM) of 134 and 99
The least common multiple (LCM) of 134 and 99 is 13266.
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 99?
First, calculate the GCD of 134 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 99 = 1 remainder 35 |
| 2 | 99 ÷ 35 = 2 remainder 29 |
| 3 | 35 ÷ 29 = 1 remainder 6 |
| 4 | 29 ÷ 6 = 4 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 185 | 30710 |
| 100 and 78 | 3900 |
| 109 and 95 | 10355 |
| 190 and 135 | 5130 |
| 103 and 155 | 15965 |