Least Common Multiple (LCM) of 157 and 122
The least common multiple (LCM) of 157 and 122 is 19154.
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 157 and 122?
First, calculate the GCD of 157 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 122 = 1 remainder 35 |
| 2 | 122 ÷ 35 = 3 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 33 | 66 |
| 127 and 182 | 23114 |
| 75 and 58 | 4350 |
| 182 and 92 | 8372 |
| 85 and 55 | 935 |