Least Common Multiple (LCM) of 178 and 179
The least common multiple (LCM) of 178 and 179 is 31862.
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 178 and 179?
First, calculate the GCD of 178 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 179 = 0 remainder 178 |
| 2 | 179 ÷ 178 = 1 remainder 1 |
| 3 | 178 ÷ 1 = 178 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 107 | 12091 |
| 89 and 83 | 7387 |
| 108 and 172 | 4644 |
| 183 and 88 | 16104 |
| 87 and 191 | 16617 |