Least Common Multiple (LCM) of 99 and 187
The least common multiple (LCM) of 99 and 187 is 1683.
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 99 and 187?
First, calculate the GCD of 99 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 187 = 0 remainder 99 |
| 2 | 187 ÷ 99 = 1 remainder 88 |
| 3 | 99 ÷ 88 = 1 remainder 11 |
| 4 | 88 ÷ 11 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 180 | 20340 |
| 120 and 64 | 960 |
| 118 and 41 | 4838 |
| 167 and 114 | 19038 |
| 121 and 35 | 4235 |