Least Common Multiple (LCM) of 147 and 187
The least common multiple (LCM) of 147 and 187 is 27489.
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 187?
First, calculate the GCD of 147 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 187 = 0 remainder 147 |
| 2 | 187 ÷ 147 = 1 remainder 40 |
| 3 | 147 ÷ 40 = 3 remainder 27 |
| 4 | 40 ÷ 27 = 1 remainder 13 |
| 5 | 27 ÷ 13 = 2 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 92 | 13156 |
| 112 and 21 | 336 |
| 85 and 76 | 6460 |
| 162 and 17 | 2754 |
| 23 and 40 | 920 |