Least Common Multiple (LCM) of 179 and 61
The least common multiple (LCM) of 179 and 61 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 179 and 61?
First, calculate the GCD of 179 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 61 = 2 remainder 57 |
| 2 | 61 ÷ 57 = 1 remainder 4 |
| 3 | 57 ÷ 4 = 14 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 175 | 28525 |
| 102 and 47 | 4794 |
| 70 and 58 | 2030 |
| 11 and 104 | 1144 |
| 110 and 140 | 1540 |