Least Common Multiple (LCM) of 144 and 151
The least common multiple (LCM) of 144 and 151 is 21744.
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 151?
First, calculate the GCD of 144 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 151 = 0 remainder 144 |
| 2 | 151 ÷ 144 = 1 remainder 7 |
| 3 | 144 ÷ 7 = 20 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 159 | 25599 |
| 55 and 64 | 3520 |
| 109 and 21 | 2289 |
| 196 and 37 | 7252 |
| 166 and 161 | 26726 |