Least Common Multiple (LCM) of 158 and 55
The least common multiple (LCM) of 158 and 55 is 8690.
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 55?
First, calculate the GCD of 158 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 55 = 2 remainder 48 |
| 2 | 55 ÷ 48 = 1 remainder 7 |
| 3 | 48 ÷ 7 = 6 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 61 | 9821 |
| 192 and 77 | 14784 |
| 103 and 109 | 11227 |
| 149 and 123 | 18327 |
| 123 and 178 | 21894 |