Least Common Multiple (LCM) of 61 and 179
The least common multiple (LCM) of 61 and 179 is 10919.
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 61 and 179?
First, calculate the GCD of 61 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 179 = 0 remainder 61 |
| 2 | 179 ÷ 61 = 2 remainder 57 |
| 3 | 61 ÷ 57 = 1 remainder 4 |
| 4 | 57 ÷ 4 = 14 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 50 | 900 |
| 77 and 71 | 5467 |
| 62 and 24 | 744 |
| 188 and 74 | 6956 |
| 78 and 126 | 1638 |