Least Common Multiple (LCM) of 149 and 82
The least common multiple (LCM) of 149 and 82 is 12218.
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 149 and 82?
First, calculate the GCD of 149 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 82 = 1 remainder 67 |
| 2 | 82 ÷ 67 = 1 remainder 15 |
| 3 | 67 ÷ 15 = 4 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 77 | 3927 |
| 107 and 108 | 11556 |
| 161 and 161 | 161 |
| 132 and 117 | 5148 |
| 86 and 53 | 4558 |