Least Common Multiple (LCM) of 187 and 77
The least common multiple (LCM) of 187 and 77 is 1309.
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 77?
First, calculate the GCD of 187 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 77 = 2 remainder 33 |
| 2 | 77 ÷ 33 = 2 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 14 | 1106 |
| 83 and 177 | 14691 |
| 188 and 147 | 27636 |
| 145 and 46 | 6670 |
| 100 and 14 | 700 |