Least Common Multiple (LCM) of 154 and 55
The least common multiple (LCM) of 154 and 55 is 770.
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 55?
First, calculate the GCD of 154 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 55 = 2 remainder 44 |
| 2 | 55 ÷ 44 = 1 remainder 11 |
| 3 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 59 | 5251 |
| 142 and 13 | 1846 |
| 89 and 18 | 1602 |
| 164 and 197 | 32308 |
| 22 and 199 | 4378 |