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 |
|---|---|
| 173 and 109 | 18857 |
| 152 and 125 | 19000 |
| 66 and 44 | 132 |
| 158 and 47 | 7426 |
| 112 and 35 | 560 |