Least Common Multiple (LCM) of 144 and 102
The least common multiple (LCM) of 144 and 102 is 2448.
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 144 and 102?
First, calculate the GCD of 144 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 102 = 1 remainder 42 |
| 2 | 102 ÷ 42 = 2 remainder 18 |
| 3 | 42 ÷ 18 = 2 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 135 | 15930 |
| 15 and 18 | 90 |
| 163 and 73 | 11899 |
| 199 and 91 | 18109 |
| 97 and 93 | 9021 |