Least Common Multiple (LCM) of 102 and 61
The least common multiple (LCM) of 102 and 61 is 6222.
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 61?
First, calculate the GCD of 102 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 61 = 1 remainder 41 |
| 2 | 61 ÷ 41 = 1 remainder 20 |
| 3 | 41 ÷ 20 = 2 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 124 | 6324 |
| 114 and 30 | 570 |
| 90 and 33 | 990 |
| 72 and 43 | 3096 |
| 25 and 59 | 1475 |