Least Common Multiple (LCM) of 102 and 26
The least common multiple (LCM) of 102 and 26 is 1326.
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 26?
First, calculate the GCD of 102 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 26 = 3 remainder 24 |
| 2 | 26 ÷ 24 = 1 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 67 | 10184 |
| 67 and 82 | 5494 |
| 111 and 125 | 13875 |
| 10 and 79 | 790 |
| 132 and 64 | 2112 |