Least Common Multiple (LCM) of 136 and 179
The least common multiple (LCM) of 136 and 179 is 24344.
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 136 and 179?
First, calculate the GCD of 136 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 179 = 0 remainder 136 |
| 2 | 179 ÷ 136 = 1 remainder 43 |
| 3 | 136 ÷ 43 = 3 remainder 7 |
| 4 | 43 ÷ 7 = 6 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 117 | 468 |
| 147 and 165 | 8085 |
| 119 and 51 | 357 |
| 15 and 43 | 645 |
| 144 and 170 | 12240 |