Least Common Multiple (LCM) of 145 and 157
The least common multiple (LCM) of 145 and 157 is 22765.
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 145 and 157?
First, calculate the GCD of 145 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 157 = 0 remainder 145 |
| 2 | 157 ÷ 145 = 1 remainder 12 |
| 3 | 145 ÷ 12 = 12 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 109 | 4469 |
| 129 and 34 | 4386 |
| 32 and 159 | 5088 |
| 45 and 44 | 1980 |
| 59 and 194 | 11446 |