Least Common Multiple (LCM) of 151 and 144
The least common multiple (LCM) of 151 and 144 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 151 and 144?
First, calculate the GCD of 151 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 144 = 1 remainder 7 |
| 2 | 144 ÷ 7 = 20 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 146 | 26718 |
| 163 and 57 | 9291 |
| 84 and 35 | 420 |
| 74 and 152 | 5624 |
| 44 and 10 | 220 |