Least Common Multiple (LCM) of 157 and 141
The least common multiple (LCM) of 157 and 141 is 22137.
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 141?
First, calculate the GCD of 157 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 141 = 1 remainder 16 |
| 2 | 141 ÷ 16 = 8 remainder 13 |
| 3 | 16 ÷ 13 = 1 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 62 | 10230 |
| 106 and 95 | 10070 |
| 169 and 169 | 169 |
| 17 and 147 | 2499 |
| 170 and 26 | 2210 |