Least Common Multiple (LCM) of 136 and 90
The least common multiple (LCM) of 136 and 90 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 90?
First, calculate the GCD of 136 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 90 = 1 remainder 46 |
| 2 | 90 ÷ 46 = 1 remainder 44 |
| 3 | 46 ÷ 44 = 1 remainder 2 |
| 4 | 44 ÷ 2 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 132 | 9636 |
| 57 and 193 | 11001 |
| 168 and 93 | 5208 |
| 49 and 42 | 294 |
| 78 and 104 | 312 |