Least Common Multiple (LCM) of 149 and 143
The least common multiple (LCM) of 149 and 143 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 149 and 143?
First, calculate the GCD of 149 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 143 = 1 remainder 6 |
| 2 | 143 ÷ 6 = 23 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 27 | 3429 |
| 166 and 91 | 15106 |
| 52 and 50 | 1300 |
| 71 and 58 | 4118 |
| 160 and 131 | 20960 |