Least Common Multiple (LCM) of 103 and 36
The least common multiple (LCM) of 103 and 36 is 3708.
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 36?
First, calculate the GCD of 103 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 36 = 2 remainder 31 |
| 2 | 36 ÷ 31 = 1 remainder 5 |
| 3 | 31 ÷ 5 = 6 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 192 | 17088 |
| 116 and 158 | 9164 |
| 129 and 143 | 18447 |
| 12 and 156 | 156 |
| 130 and 41 | 5330 |