Least Common Multiple (LCM) of 74 and 64
The least common multiple (LCM) of 74 and 64 is 2368.
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 64?
First, calculate the GCD of 74 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 64 = 1 remainder 10 |
| 2 | 64 ÷ 10 = 6 remainder 4 |
| 3 | 10 ÷ 4 = 2 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 182 | 25662 |
| 157 and 191 | 29987 |
| 145 and 154 | 22330 |
| 40 and 59 | 2360 |
| 161 and 59 | 9499 |