Least Common Multiple (LCM) of 158 and 179
The least common multiple (LCM) of 158 and 179 is 28282.
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 158 and 179?
First, calculate the GCD of 158 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 179 = 0 remainder 158 |
| 2 | 179 ÷ 158 = 1 remainder 21 |
| 3 | 158 ÷ 21 = 7 remainder 11 |
| 4 | 21 ÷ 11 = 1 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 99 | 9900 |
| 161 and 81 | 13041 |
| 176 and 178 | 15664 |
| 192 and 195 | 12480 |
| 31 and 83 | 2573 |