Least Common Multiple (LCM) of 154 and 97
The least common multiple (LCM) of 154 and 97 is 14938.
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 97?
First, calculate the GCD of 154 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 97 = 1 remainder 57 |
| 2 | 97 ÷ 57 = 1 remainder 40 |
| 3 | 57 ÷ 40 = 1 remainder 17 |
| 4 | 40 ÷ 17 = 2 remainder 6 |
| 5 | 17 ÷ 6 = 2 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 188 | 16356 |
| 22 and 105 | 2310 |
| 141 and 55 | 7755 |
| 179 and 95 | 17005 |
| 20 and 127 | 2540 |