Least Common Multiple (LCM) of 158 and 108
The least common multiple (LCM) of 158 and 108 is 8532.
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 108?
First, calculate the GCD of 158 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 108 = 1 remainder 50 |
| 2 | 108 ÷ 50 = 2 remainder 8 |
| 3 | 50 ÷ 8 = 6 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 193 | 30880 |
| 48 and 70 | 1680 |
| 61 and 183 | 183 |
| 128 and 178 | 11392 |
| 54 and 30 | 270 |