Least Common Multiple (LCM) of 152 and 187
The least common multiple (LCM) of 152 and 187 is 28424.
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 187?
First, calculate the GCD of 152 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 187 = 0 remainder 152 |
| 2 | 187 ÷ 152 = 1 remainder 35 |
| 3 | 152 ÷ 35 = 4 remainder 12 |
| 4 | 35 ÷ 12 = 2 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 28 | 2380 |
| 95 and 81 | 7695 |
| 82 and 131 | 10742 |
| 105 and 25 | 525 |
| 131 and 67 | 8777 |