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 |
|---|---|
| 172 and 160 | 6880 |
| 153 and 25 | 3825 |
| 154 and 184 | 14168 |
| 126 and 32 | 2016 |
| 132 and 137 | 18084 |