Least Common Multiple (LCM) of 141 and 49
The least common multiple (LCM) of 141 and 49 is 6909.
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 141 and 49?
First, calculate the GCD of 141 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 49 = 2 remainder 43 |
| 2 | 49 ÷ 43 = 1 remainder 6 |
| 3 | 43 ÷ 6 = 7 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 114 | 11400 |
| 86 and 50 | 2150 |
| 192 and 175 | 33600 |
| 187 and 89 | 16643 |
| 149 and 62 | 9238 |