Least Common Multiple (LCM) of 147 and 26
The least common multiple (LCM) of 147 and 26 is 3822.
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 147 and 26?
First, calculate the GCD of 147 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 26 = 5 remainder 17 |
| 2 | 26 ÷ 17 = 1 remainder 9 |
| 3 | 17 ÷ 9 = 1 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 176 | 12848 |
| 181 and 34 | 6154 |
| 145 and 199 | 28855 |
| 182 and 191 | 34762 |
| 27 and 93 | 837 |