Least Common Multiple (LCM) of 76 and 127
The least common multiple (LCM) of 76 and 127 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 76 and 127?
First, calculate the GCD of 76 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 127 = 0 remainder 76 |
| 2 | 127 ÷ 76 = 1 remainder 51 |
| 3 | 76 ÷ 51 = 1 remainder 25 |
| 4 | 51 ÷ 25 = 2 remainder 1 |
| 5 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 168 | 840 |
| 61 and 77 | 4697 |
| 121 and 75 | 9075 |
| 53 and 107 | 5671 |
| 182 and 125 | 22750 |