Least Common Multiple (LCM) of 145 and 158
The least common multiple (LCM) of 145 and 158 is 22910.
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 158?
First, calculate the GCD of 145 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 158 = 0 remainder 145 |
| 2 | 158 ÷ 145 = 1 remainder 13 |
| 3 | 145 ÷ 13 = 11 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 122 | 20862 |
| 70 and 81 | 5670 |
| 117 and 138 | 5382 |
| 38 and 74 | 1406 |
| 143 and 192 | 27456 |