Least Common Multiple (LCM) of 103 and 154
The least common multiple (LCM) of 103 and 154 is 15862.
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 103 and 154?
First, calculate the GCD of 103 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 154 = 0 remainder 103 |
| 2 | 154 ÷ 103 = 1 remainder 51 |
| 3 | 103 ÷ 51 = 2 remainder 1 |
| 4 | 51 ÷ 1 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 42 | 1218 |
| 101 and 128 | 12928 |
| 157 and 108 | 16956 |
| 178 and 79 | 14062 |
| 34 and 106 | 1802 |