Least Common Multiple (LCM) of 103 and 151
The least common multiple (LCM) of 103 and 151 is 15553.
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 151?
First, calculate the GCD of 103 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 151 = 0 remainder 103 |
| 2 | 151 ÷ 103 = 1 remainder 48 |
| 3 | 103 ÷ 48 = 2 remainder 7 |
| 4 | 48 ÷ 7 = 6 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 70 | 2730 |
| 15 and 94 | 1410 |
| 63 and 71 | 4473 |
| 101 and 164 | 16564 |
| 17 and 103 | 1751 |