Least Common Multiple (LCM) of 102 and 155
The least common multiple (LCM) of 102 and 155 is 15810.
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 102 and 155?
First, calculate the GCD of 102 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 155 = 0 remainder 102 |
| 2 | 155 ÷ 102 = 1 remainder 53 |
| 3 | 102 ÷ 53 = 1 remainder 49 |
| 4 | 53 ÷ 49 = 1 remainder 4 |
| 5 | 49 ÷ 4 = 12 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 154 | 8932 |
| 182 and 178 | 16198 |
| 114 and 72 | 1368 |
| 34 and 162 | 2754 |
| 118 and 41 | 4838 |