Least Common Multiple (LCM) of 102 and 10
The least common multiple (LCM) of 102 and 10 is 510.
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 10?
First, calculate the GCD of 102 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 10 = 10 remainder 2 |
| 2 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 64 | 576 |
| 147 and 38 | 5586 |
| 138 and 156 | 3588 |
| 196 and 74 | 7252 |
| 61 and 48 | 2928 |