Least Common Multiple (LCM) of 136 and 180
The least common multiple (LCM) of 136 and 180 is 6120.
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 180?
First, calculate the GCD of 136 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 180 = 0 remainder 136 |
| 2 | 180 ÷ 136 = 1 remainder 44 |
| 3 | 136 ÷ 44 = 3 remainder 4 |
| 4 | 44 ÷ 4 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 30 | 5910 |
| 118 and 91 | 10738 |
| 167 and 67 | 11189 |
| 37 and 97 | 3589 |
| 14 and 153 | 2142 |