Least Common Multiple (LCM) of 158 and 122
The least common multiple (LCM) of 158 and 122 is 9638.
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 122?
First, calculate the GCD of 158 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 122 = 1 remainder 36 |
| 2 | 122 ÷ 36 = 3 remainder 14 |
| 3 | 36 ÷ 14 = 2 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 103 | 7416 |
| 149 and 34 | 5066 |
| 65 and 72 | 4680 |
| 100 and 45 | 900 |
| 102 and 169 | 17238 |