Least Common Multiple (LCM) of 187 and 148
The least common multiple (LCM) of 187 and 148 is 27676.
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 187 and 148?
First, calculate the GCD of 187 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 148 = 1 remainder 39 |
| 2 | 148 ÷ 39 = 3 remainder 31 |
| 3 | 39 ÷ 31 = 1 remainder 8 |
| 4 | 31 ÷ 8 = 3 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 72 | 8136 |
| 115 and 92 | 460 |
| 143 and 45 | 6435 |
| 85 and 47 | 3995 |
| 104 and 30 | 1560 |