Least Common Multiple (LCM) of 158 and 177
The least common multiple (LCM) of 158 and 177 is 27966.
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 177?
First, calculate the GCD of 158 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 177 = 0 remainder 158 |
| 2 | 177 ÷ 158 = 1 remainder 19 |
| 3 | 158 ÷ 19 = 8 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 68 | 11900 |
| 119 and 146 | 17374 |
| 83 and 120 | 9960 |
| 187 and 162 | 30294 |
| 180 and 109 | 19620 |