Least Common Multiple (LCM) of 179 and 136
The least common multiple (LCM) of 179 and 136 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 179 and 136?
First, calculate the GCD of 179 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 136 = 1 remainder 43 |
| 2 | 136 ÷ 43 = 3 remainder 7 |
| 3 | 43 ÷ 7 = 6 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 122 | 4270 |
| 30 and 13 | 390 |
| 126 and 81 | 1134 |
| 115 and 169 | 19435 |
| 19 and 106 | 2014 |