Least Common Multiple (LCM) of 127 and 149
The least common multiple (LCM) of 127 and 149 is 18923.
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 127 and 149?
First, calculate the GCD of 127 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 149 = 0 remainder 127 |
| 2 | 149 ÷ 127 = 1 remainder 22 |
| 3 | 127 ÷ 22 = 5 remainder 17 |
| 4 | 22 ÷ 17 = 1 remainder 5 |
| 5 | 17 ÷ 5 = 3 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 166 | 3818 |
| 68 and 149 | 10132 |
| 139 and 59 | 8201 |
| 183 and 94 | 17202 |
| 41 and 73 | 2993 |