Least Common Multiple (LCM) of 147 and 107
The least common multiple (LCM) of 147 and 107 is 15729.
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 107?
First, calculate the GCD of 147 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 107 = 1 remainder 40 |
| 2 | 107 ÷ 40 = 2 remainder 27 |
| 3 | 40 ÷ 27 = 1 remainder 13 |
| 4 | 27 ÷ 13 = 2 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 167 | 24382 |
| 52 and 114 | 2964 |
| 20 and 146 | 1460 |
| 55 and 76 | 4180 |
| 24 and 128 | 384 |