Least Common Multiple (LCM) of 154 and 34
The least common multiple (LCM) of 154 and 34 is 2618.
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 34?
First, calculate the GCD of 154 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 34 = 4 remainder 18 |
| 2 | 34 ÷ 18 = 1 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 170 | 5270 |
| 20 and 138 | 1380 |
| 89 and 132 | 11748 |
| 132 and 190 | 12540 |
| 60 and 187 | 11220 |