Least Common Multiple (LCM) of 154 and 29
The least common multiple (LCM) of 154 and 29 is 4466.
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 29?
First, calculate the GCD of 154 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 29 = 5 remainder 9 |
| 2 | 29 ÷ 9 = 3 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 51 | 2448 |
| 107 and 73 | 7811 |
| 53 and 118 | 6254 |
| 197 and 171 | 33687 |
| 148 and 170 | 12580 |