Least Common Multiple (LCM) of 120 and 103
The least common multiple (LCM) of 120 and 103 is 12360.
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 120 and 103?
First, calculate the GCD of 120 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 103 = 1 remainder 17 |
| 2 | 103 ÷ 17 = 6 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 194 | 11446 |
| 136 and 26 | 1768 |
| 193 and 177 | 34161 |
| 194 and 80 | 7760 |
| 138 and 38 | 2622 |