Least Common Multiple (LCM) of 157 and 80
The least common multiple (LCM) of 157 and 80 is 12560.
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 80?
First, calculate the GCD of 157 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 80 = 1 remainder 77 |
| 2 | 80 ÷ 77 = 1 remainder 3 |
| 3 | 77 ÷ 3 = 25 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 154 | 1232 |
| 148 and 51 | 7548 |
| 146 and 107 | 15622 |
| 163 and 101 | 16463 |
| 21 and 122 | 2562 |