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 |
|---|---|
| 86 and 137 | 11782 |
| 184 and 48 | 1104 |
| 194 and 183 | 35502 |
| 115 and 186 | 21390 |
| 60 and 133 | 7980 |