Least Common Multiple (LCM) of 90 and 136
The least common multiple (LCM) of 90 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 90 and 136?
First, calculate the GCD of 90 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 136 = 0 remainder 90 |
| 2 | 136 ÷ 90 = 1 remainder 46 |
| 3 | 90 ÷ 46 = 1 remainder 44 |
| 4 | 46 ÷ 44 = 1 remainder 2 |
| 5 | 44 ÷ 2 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 43 | 6278 |
| 137 and 139 | 19043 |
| 34 and 179 | 6086 |
| 67 and 143 | 9581 |
| 34 and 144 | 2448 |