Least Common Multiple (LCM) of 153 and 122
The least common multiple (LCM) of 153 and 122 is 18666.
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 153 and 122?
First, calculate the GCD of 153 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 122 = 1 remainder 31 |
| 2 | 122 ÷ 31 = 3 remainder 29 |
| 3 | 31 ÷ 29 = 1 remainder 2 |
| 4 | 29 ÷ 2 = 14 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 63 | 10710 |
| 192 and 149 | 28608 |
| 74 and 61 | 4514 |
| 117 and 154 | 18018 |
| 199 and 57 | 11343 |