Least Common Multiple (LCM) of 155 and 106
The least common multiple (LCM) of 155 and 106 is 16430.
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 106?
First, calculate the GCD of 155 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 106 = 1 remainder 49 |
| 2 | 106 ÷ 49 = 2 remainder 8 |
| 3 | 49 ÷ 8 = 6 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 169 | 23491 |
| 195 and 25 | 975 |
| 136 and 159 | 21624 |
| 14 and 101 | 1414 |
| 53 and 52 | 2756 |