Least Common Multiple (LCM) of 61 and 154
The least common multiple (LCM) of 61 and 154 is 9394.
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 61 and 154?
First, calculate the GCD of 61 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 154 = 0 remainder 61 |
| 2 | 154 ÷ 61 = 2 remainder 32 |
| 3 | 61 ÷ 32 = 1 remainder 29 |
| 4 | 32 ÷ 29 = 1 remainder 3 |
| 5 | 29 ÷ 3 = 9 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 20 | 1620 |
| 134 and 134 | 134 |
| 67 and 47 | 3149 |
| 162 and 138 | 3726 |
| 90 and 111 | 3330 |