Least Common Multiple (LCM) of 51 and 187
The least common multiple (LCM) of 51 and 187 is 561.
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 51 and 187?
First, calculate the GCD of 51 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 187 = 0 remainder 51 |
| 2 | 187 ÷ 51 = 3 remainder 34 |
| 3 | 51 ÷ 34 = 1 remainder 17 |
| 4 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 100 | 3700 |
| 137 and 125 | 17125 |
| 11 and 189 | 2079 |
| 199 and 84 | 16716 |
| 160 and 76 | 3040 |