Least Common Multiple (LCM) of 158 and 105
The least common multiple (LCM) of 158 and 105 is 16590.
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 105?
First, calculate the GCD of 158 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 105 = 1 remainder 53 |
| 2 | 105 ÷ 53 = 1 remainder 52 |
| 3 | 53 ÷ 52 = 1 remainder 1 |
| 4 | 52 ÷ 1 = 52 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 36 | 4284 |
| 131 and 119 | 15589 |
| 99 and 147 | 4851 |
| 155 and 160 | 4960 |
| 12 and 40 | 120 |