Least Common Multiple (LCM) of 155 and 110
The least common multiple (LCM) of 155 and 110 is 3410.
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 155 and 110?
First, calculate the GCD of 155 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 110 = 1 remainder 45 |
| 2 | 110 ÷ 45 = 2 remainder 20 |
| 3 | 45 ÷ 20 = 2 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 133 | 23940 |
| 190 and 86 | 8170 |
| 86 and 120 | 5160 |
| 21 and 196 | 588 |
| 39 and 174 | 2262 |