Least Common Multiple (LCM) of 178 and 158
The least common multiple (LCM) of 178 and 158 is 14062.
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 158?
First, calculate the GCD of 178 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 158 = 1 remainder 20 |
| 2 | 158 ÷ 20 = 7 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 70 | 5040 |
| 137 and 104 | 14248 |
| 170 and 68 | 340 |
| 14 and 39 | 546 |
| 135 and 39 | 1755 |