Least Common Multiple (LCM) of 64 and 74
The least common multiple (LCM) of 64 and 74 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 64 and 74?
First, calculate the GCD of 64 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 74 = 0 remainder 64 |
| 2 | 74 ÷ 64 = 1 remainder 10 |
| 3 | 64 ÷ 10 = 6 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 91 | 2548 |
| 80 and 173 | 13840 |
| 36 and 139 | 5004 |
| 152 and 89 | 13528 |
| 136 and 154 | 10472 |