Least Common Multiple (LCM) of 157 and 49
The least common multiple (LCM) of 157 and 49 is 7693.
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 49?
First, calculate the GCD of 157 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 49 = 3 remainder 10 |
| 2 | 49 ÷ 10 = 4 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 194 | 7372 |
| 113 and 97 | 10961 |
| 183 and 164 | 30012 |
| 78 and 198 | 2574 |
| 122 and 159 | 19398 |