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 |
|---|---|
| 157 and 26 | 4082 |
| 113 and 80 | 9040 |
| 110 and 105 | 2310 |
| 44 and 132 | 132 |
| 145 and 106 | 15370 |