Least Common Multiple (LCM) of 36 and 127
The least common multiple (LCM) of 36 and 127 is 4572.
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 36 and 127?
First, calculate the GCD of 36 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 127 = 0 remainder 36 |
| 2 | 127 ÷ 36 = 3 remainder 19 |
| 3 | 36 ÷ 19 = 1 remainder 17 |
| 4 | 19 ÷ 17 = 1 remainder 2 |
| 5 | 17 ÷ 2 = 8 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 184 | 6440 |
| 116 and 166 | 9628 |
| 129 and 34 | 4386 |
| 17 and 140 | 2380 |
| 145 and 54 | 7830 |