Least Common Multiple (LCM) of 180 and 136
The least common multiple (LCM) of 180 and 136 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 180 and 136?
First, calculate the GCD of 180 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 136 = 1 remainder 44 |
| 2 | 136 ÷ 44 = 3 remainder 4 |
| 3 | 44 ÷ 4 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 70 | 5040 |
| 11 and 92 | 1012 |
| 52 and 62 | 1612 |
| 84 and 33 | 924 |
| 129 and 75 | 3225 |