Least Common Multiple (LCM) of 107 and 74
The least common multiple (LCM) of 107 and 74 is 7918.
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 107 and 74?
First, calculate the GCD of 107 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 74 = 1 remainder 33 |
| 2 | 74 ÷ 33 = 2 remainder 8 |
| 3 | 33 ÷ 8 = 4 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 38 | 494 |
| 191 and 100 | 19100 |
| 121 and 92 | 11132 |
| 190 and 120 | 2280 |
| 22 and 80 | 880 |