Least Common Multiple (LCM) of 152 and 127
The least common multiple (LCM) of 152 and 127 is 19304.
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 152 and 127?
First, calculate the GCD of 152 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 127 = 1 remainder 25 |
| 2 | 127 ÷ 25 = 5 remainder 2 |
| 3 | 25 ÷ 2 = 12 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 71 | 3763 |
| 105 and 141 | 4935 |
| 170 and 112 | 9520 |
| 57 and 125 | 7125 |
| 22 and 16 | 176 |