Least Common Multiple (LCM) of 187 and 51
The least common multiple (LCM) of 187 and 51 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 187 and 51?
First, calculate the GCD of 187 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 51 = 3 remainder 34 |
| 2 | 51 ÷ 34 = 1 remainder 17 |
| 3 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 72 | 1584 |
| 127 and 104 | 13208 |
| 64 and 25 | 1600 |
| 182 and 166 | 15106 |
| 153 and 24 | 1224 |