Least Common Multiple (LCM) of 102 and 102
The least common multiple (LCM) of 102 and 102 is 102.
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 102?
First, calculate the GCD of 102 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 102 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 185 | 6290 |
| 138 and 66 | 1518 |
| 161 and 106 | 17066 |
| 144 and 38 | 2736 |
| 180 and 149 | 26820 |