Least Common Multiple (LCM) of 155 and 141
The least common multiple (LCM) of 155 and 141 is 21855.
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 141?
First, calculate the GCD of 155 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 141 = 1 remainder 14 |
| 2 | 141 ÷ 14 = 10 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 14 | 1722 |
| 180 and 47 | 8460 |
| 158 and 167 | 26386 |
| 48 and 164 | 1968 |
| 110 and 91 | 10010 |