Least Common Multiple (LCM) of 155 and 143
The least common multiple (LCM) of 155 and 143 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 155 and 143?
First, calculate the GCD of 155 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 143 = 1 remainder 12 |
| 2 | 143 ÷ 12 = 11 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 112 | 16240 |
| 94 and 67 | 6298 |
| 140 and 117 | 16380 |
| 124 and 75 | 9300 |
| 110 and 166 | 9130 |