Least Common Multiple (LCM) of 186 and 98
The least common multiple (LCM) of 186 and 98 is 9114.
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 186 and 98?
First, calculate the GCD of 186 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 98 = 1 remainder 88 |
| 2 | 98 ÷ 88 = 1 remainder 10 |
| 3 | 88 ÷ 10 = 8 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 195 | 390 |
| 102 and 154 | 7854 |
| 136 and 111 | 15096 |
| 55 and 160 | 1760 |
| 14 and 13 | 182 |