Least Common Multiple (LCM) of 144 and 117
The least common multiple (LCM) of 144 and 117 is 1872.
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 117?
First, calculate the GCD of 144 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 117 = 1 remainder 27 |
| 2 | 117 ÷ 27 = 4 remainder 9 |
| 3 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 151 | 19630 |
| 98 and 81 | 7938 |
| 130 and 45 | 1170 |
| 167 and 20 | 3340 |
| 154 and 187 | 2618 |