Least Common Multiple (LCM) of 155 and 44
The least common multiple (LCM) of 155 and 44 is 6820.
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 44?
First, calculate the GCD of 155 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 44 = 3 remainder 23 |
| 2 | 44 ÷ 23 = 1 remainder 21 |
| 3 | 23 ÷ 21 = 1 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 149 | 24734 |
| 86 and 114 | 4902 |
| 89 and 80 | 7120 |
| 14 and 107 | 1498 |
| 118 and 152 | 8968 |