Least Common Multiple (LCM) of 122 and 90
The least common multiple (LCM) of 122 and 90 is 5490.
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 90?
First, calculate the GCD of 122 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 90 = 1 remainder 32 |
| 2 | 90 ÷ 32 = 2 remainder 26 |
| 3 | 32 ÷ 26 = 1 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 167 | 29225 |
| 54 and 29 | 1566 |
| 148 and 77 | 11396 |
| 61 and 178 | 10858 |
| 197 and 148 | 29156 |