Least Common Multiple (LCM) of 151 and 186
The least common multiple (LCM) of 151 and 186 is 28086.
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 151 and 186?
First, calculate the GCD of 151 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 186 = 0 remainder 151 |
| 2 | 186 ÷ 151 = 1 remainder 35 |
| 3 | 151 ÷ 35 = 4 remainder 11 |
| 4 | 35 ÷ 11 = 3 remainder 2 |
| 5 | 11 ÷ 2 = 5 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 34 | 1496 |
| 77 and 121 | 847 |
| 30 and 81 | 810 |
| 83 and 144 | 11952 |
| 105 and 118 | 12390 |