Least Common Multiple (LCM) of 143 and 149
The least common multiple (LCM) of 143 and 149 is 21307.
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 149?
First, calculate the GCD of 143 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 149 = 0 remainder 143 |
| 2 | 149 ÷ 143 = 1 remainder 6 |
| 3 | 143 ÷ 6 = 23 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 189 | 3213 |
| 130 and 12 | 780 |
| 132 and 133 | 17556 |
| 101 and 127 | 12827 |
| 59 and 39 | 2301 |