Least Common Multiple (LCM) of 122 and 158
The least common multiple (LCM) of 122 and 158 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 122 and 158?
First, calculate the GCD of 122 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 158 = 0 remainder 122 |
| 2 | 158 ÷ 122 = 1 remainder 36 |
| 3 | 122 ÷ 36 = 3 remainder 14 |
| 4 | 36 ÷ 14 = 2 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 73 | 13943 |
| 78 and 135 | 3510 |
| 109 and 96 | 10464 |
| 120 and 130 | 1560 |
| 36 and 90 | 180 |