Least Common Multiple (LCM) of 110 and 154
The least common multiple (LCM) of 110 and 154 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 110 and 154?
First, calculate the GCD of 110 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 154 = 0 remainder 110 |
| 2 | 154 ÷ 110 = 1 remainder 44 |
| 3 | 110 ÷ 44 = 2 remainder 22 |
| 4 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 140 | 3780 |
| 100 and 22 | 1100 |
| 135 and 167 | 22545 |
| 74 and 35 | 2590 |
| 159 and 31 | 4929 |