Least Common Multiple (LCM) of 155 and 101
The least common multiple (LCM) of 155 and 101 is 15655.
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 101?
First, calculate the GCD of 155 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 101 = 1 remainder 54 |
| 2 | 101 ÷ 54 = 1 remainder 47 |
| 3 | 54 ÷ 47 = 1 remainder 7 |
| 4 | 47 ÷ 7 = 6 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 183 | 9882 |
| 145 and 198 | 28710 |
| 10 and 99 | 990 |
| 182 and 72 | 6552 |
| 155 and 131 | 20305 |