Least Common Multiple (LCM) of 143 and 155
The least common multiple (LCM) of 143 and 155 is 22165.
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 155?
First, calculate the GCD of 143 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 155 = 0 remainder 143 |
| 2 | 155 ÷ 143 = 1 remainder 12 |
| 3 | 143 ÷ 12 = 11 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 192 | 10560 |
| 128 and 176 | 1408 |
| 128 and 104 | 1664 |
| 158 and 111 | 17538 |
| 120 and 134 | 8040 |