Least Common Multiple (LCM) of 74 and 95
The least common multiple (LCM) of 74 and 95 is 7030.
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 74 and 95?
First, calculate the GCD of 74 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 95 = 0 remainder 74 |
| 2 | 95 ÷ 74 = 1 remainder 21 |
| 3 | 74 ÷ 21 = 3 remainder 11 |
| 4 | 21 ÷ 11 = 1 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 60 | 2940 |
| 143 and 35 | 5005 |
| 159 and 163 | 25917 |
| 99 and 23 | 2277 |
| 187 and 200 | 37400 |