Least Common Multiple (LCM) of 154 and 103
The least common multiple (LCM) of 154 and 103 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 154 and 103?
First, calculate the GCD of 154 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 103 = 1 remainder 51 |
| 2 | 103 ÷ 51 = 2 remainder 1 |
| 3 | 51 ÷ 1 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 130 | 3510 |
| 19 and 169 | 3211 |
| 168 and 82 | 6888 |
| 94 and 17 | 1598 |
| 121 and 93 | 11253 |