Least Common Multiple (LCM) of 127 and 154
The least common multiple (LCM) of 127 and 154 is 19558.
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 154?
First, calculate the GCD of 127 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 154 = 0 remainder 127 |
| 2 | 154 ÷ 127 = 1 remainder 27 |
| 3 | 127 ÷ 27 = 4 remainder 19 |
| 4 | 27 ÷ 19 = 1 remainder 8 |
| 5 | 19 ÷ 8 = 2 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 90 | 1170 |
| 180 and 196 | 8820 |
| 151 and 12 | 1812 |
| 55 and 120 | 1320 |
| 170 and 139 | 23630 |