Least Common Multiple (LCM) of 154 and 141
The least common multiple (LCM) of 154 and 141 is 21714.
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 141?
First, calculate the GCD of 154 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 141 = 1 remainder 13 |
| 2 | 141 ÷ 13 = 10 remainder 11 |
| 3 | 13 ÷ 11 = 1 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 167 | 31897 |
| 33 and 18 | 198 |
| 155 and 111 | 17205 |
| 125 and 22 | 2750 |
| 103 and 91 | 9373 |