Least Common Multiple (LCM) of 141 and 149
The least common multiple (LCM) of 141 and 149 is 21009.
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 149?
First, calculate the GCD of 141 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 149 = 0 remainder 141 |
| 2 | 149 ÷ 141 = 1 remainder 8 |
| 3 | 141 ÷ 8 = 17 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 87 | 14964 |
| 110 and 109 | 11990 |
| 171 and 85 | 14535 |
| 110 and 81 | 8910 |
| 46 and 74 | 1702 |