Least Common Multiple (LCM) of 143 and 151
The least common multiple (LCM) of 143 and 151 is 21593.
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 143 and 151?
First, calculate the GCD of 143 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 151 = 0 remainder 143 |
| 2 | 151 ÷ 143 = 1 remainder 8 |
| 3 | 143 ÷ 8 = 17 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 145 | 27115 |
| 22 and 158 | 1738 |
| 122 and 53 | 6466 |
| 142 and 129 | 18318 |
| 28 and 21 | 84 |