Least Common Multiple (LCM) of 161 and 74
The least common multiple (LCM) of 161 and 74 is 11914.
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 161 and 74?
First, calculate the GCD of 161 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 74 = 2 remainder 13 |
| 2 | 74 ÷ 13 = 5 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 120 | 5160 |
| 118 and 62 | 3658 |
| 197 and 84 | 16548 |
| 78 and 42 | 546 |
| 77 and 67 | 5159 |