Least Common Multiple (LCM) of 155 and 83
The least common multiple (LCM) of 155 and 83 is 12865.
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 155 and 83?
First, calculate the GCD of 155 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 83 = 1 remainder 72 |
| 2 | 83 ÷ 72 = 1 remainder 11 |
| 3 | 72 ÷ 11 = 6 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 22 | 2838 |
| 86 and 99 | 8514 |
| 117 and 150 | 5850 |
| 107 and 122 | 13054 |
| 200 and 48 | 1200 |