Least Common Multiple (LCM) of 155 and 99
The least common multiple (LCM) of 155 and 99 is 15345.
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 99?
First, calculate the GCD of 155 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 99 = 1 remainder 56 |
| 2 | 99 ÷ 56 = 1 remainder 43 |
| 3 | 56 ÷ 43 = 1 remainder 13 |
| 4 | 43 ÷ 13 = 3 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 90 | 4230 |
| 84 and 62 | 2604 |
| 137 and 163 | 22331 |
| 147 and 95 | 13965 |
| 157 and 146 | 22922 |