Least Common Multiple (LCM) of 10 and 162
The least common multiple (LCM) of 10 and 162 is 810.
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 10 and 162?
First, calculate the GCD of 10 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 162 = 0 remainder 10 |
| 2 | 162 ÷ 10 = 16 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 57 | 3534 |
| 130 and 74 | 4810 |
| 45 and 168 | 2520 |
| 138 and 34 | 2346 |
| 107 and 120 | 12840 |