Least Common Multiple (LCM) of 127 and 98
The least common multiple (LCM) of 127 and 98 is 12446.
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 98?
First, calculate the GCD of 127 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 98 = 1 remainder 29 |
| 2 | 98 ÷ 29 = 3 remainder 11 |
| 3 | 29 ÷ 11 = 2 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 135 | 20385 |
| 166 and 149 | 24734 |
| 183 and 35 | 6405 |
| 26 and 154 | 2002 |
| 88 and 128 | 1408 |