Least Common Multiple (LCM) of 187 and 22
The least common multiple (LCM) of 187 and 22 is 374.
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 22?
First, calculate the GCD of 187 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 22 = 8 remainder 11 |
| 2 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 117 | 1287 |
| 167 and 108 | 18036 |
| 137 and 103 | 14111 |
| 171 and 98 | 16758 |
| 112 and 94 | 5264 |