Least Common Multiple (LCM) of 187 and 98
The least common multiple (LCM) of 187 and 98 is 18326.
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 98?
First, calculate the GCD of 187 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 98 = 1 remainder 89 |
| 2 | 98 ÷ 89 = 1 remainder 9 |
| 3 | 89 ÷ 9 = 9 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 53 | 4399 |
| 125 and 67 | 8375 |
| 121 and 122 | 14762 |
| 109 and 89 | 9701 |
| 191 and 195 | 37245 |