Least Common Multiple (LCM) of 82 and 151
The least common multiple (LCM) of 82 and 151 is 12382.
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 82 and 151?
First, calculate the GCD of 82 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 151 = 0 remainder 82 |
| 2 | 151 ÷ 82 = 1 remainder 69 |
| 3 | 82 ÷ 69 = 1 remainder 13 |
| 4 | 69 ÷ 13 = 5 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 60 | 2220 |
| 69 and 70 | 4830 |
| 129 and 49 | 6321 |
| 73 and 187 | 13651 |
| 107 and 103 | 11021 |