Least Common Multiple (LCM) of 179 and 178
The least common multiple (LCM) of 179 and 178 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 179 and 178?
First, calculate the GCD of 179 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 178 = 1 remainder 1 |
| 2 | 178 ÷ 1 = 178 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 15 | 510 |
| 86 and 128 | 5504 |
| 37 and 153 | 5661 |
| 172 and 47 | 8084 |
| 161 and 112 | 2576 |