Least Common Multiple (LCM) of 199 and 136
The least common multiple (LCM) of 199 and 136 is 27064.
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 199 and 136?
First, calculate the GCD of 199 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 136 = 1 remainder 63 |
| 2 | 136 ÷ 63 = 2 remainder 10 |
| 3 | 63 ÷ 10 = 6 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 33 | 5280 |
| 179 and 98 | 17542 |
| 40 and 140 | 280 |
| 174 and 149 | 25926 |
| 148 and 16 | 592 |