Least Common Multiple (LCM) of 154 and 90
The least common multiple (LCM) of 154 and 90 is 6930.
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 154 and 90?
First, calculate the GCD of 154 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 90 = 1 remainder 64 |
| 2 | 90 ÷ 64 = 1 remainder 26 |
| 3 | 64 ÷ 26 = 2 remainder 12 |
| 4 | 26 ÷ 12 = 2 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 138 | 5244 |
| 162 and 72 | 648 |
| 21 and 77 | 231 |
| 65 and 169 | 845 |
| 21 and 200 | 4200 |