Least Common Multiple (LCM) of 136 and 187
The least common multiple (LCM) of 136 and 187 is 1496.
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 136 and 187?
First, calculate the GCD of 136 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 187 = 0 remainder 136 |
| 2 | 187 ÷ 136 = 1 remainder 51 |
| 3 | 136 ÷ 51 = 2 remainder 34 |
| 4 | 51 ÷ 34 = 1 remainder 17 |
| 5 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 21 | 3192 |
| 32 and 118 | 1888 |
| 68 and 125 | 8500 |
| 15 and 124 | 1860 |
| 100 and 25 | 100 |