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 |
|---|---|
| 152 and 92 | 3496 |
| 162 and 58 | 4698 |
| 105 and 48 | 1680 |
| 44 and 164 | 1804 |
| 193 and 54 | 10422 |