Least Common Multiple (LCM) of 187 and 64
The least common multiple (LCM) of 187 and 64 is 11968.
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 64?
First, calculate the GCD of 187 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 64 = 2 remainder 59 |
| 2 | 64 ÷ 59 = 1 remainder 5 |
| 3 | 59 ÷ 5 = 11 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 194 | 15326 |
| 124 and 102 | 6324 |
| 132 and 184 | 6072 |
| 157 and 124 | 19468 |
| 107 and 91 | 9737 |