Least Common Multiple (LCM) of 127 and 76
The least common multiple (LCM) of 127 and 76 is 9652.
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 76?
First, calculate the GCD of 127 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 76 = 1 remainder 51 |
| 2 | 76 ÷ 51 = 1 remainder 25 |
| 3 | 51 ÷ 25 = 2 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 114 | 10032 |
| 185 and 121 | 22385 |
| 133 and 100 | 13300 |
| 143 and 67 | 9581 |
| 112 and 127 | 14224 |