Least Common Multiple (LCM) of 127 and 37
The least common multiple (LCM) of 127 and 37 is 4699.
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 37?
First, calculate the GCD of 127 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 37 = 3 remainder 16 |
| 2 | 37 ÷ 16 = 2 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 182 | 30030 |
| 139 and 29 | 4031 |
| 148 and 149 | 22052 |
| 13 and 161 | 2093 |
| 33 and 93 | 1023 |