Least Common Multiple (LCM) of 145 and 27
The least common multiple (LCM) of 145 and 27 is 3915.
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 27?
First, calculate the GCD of 145 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 27 = 5 remainder 10 |
| 2 | 27 ÷ 10 = 2 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 94 | 12878 |
| 116 and 150 | 8700 |
| 145 and 75 | 2175 |
| 76 and 93 | 7068 |
| 71 and 106 | 7526 |