Least Common Multiple (LCM) of 97 and 186
The least common multiple (LCM) of 97 and 186 is 18042.
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 97 and 186?
First, calculate the GCD of 97 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 186 = 0 remainder 97 |
| 2 | 186 ÷ 97 = 1 remainder 89 |
| 3 | 97 ÷ 89 = 1 remainder 8 |
| 4 | 89 ÷ 8 = 11 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 62 | 2852 |
| 34 and 93 | 3162 |
| 104 and 63 | 6552 |
| 98 and 143 | 14014 |
| 128 and 74 | 4736 |