Least Common Multiple (LCM) of 22 and 179
The least common multiple (LCM) of 22 and 179 is 3938.
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 22 and 179?
First, calculate the GCD of 22 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 179 = 0 remainder 22 |
| 2 | 179 ÷ 22 = 8 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 31 | 3658 |
| 130 and 157 | 20410 |
| 191 and 184 | 35144 |
| 149 and 33 | 4917 |
| 95 and 68 | 6460 |