Least Common Multiple (LCM) of 64 and 148
The least common multiple (LCM) of 64 and 148 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 148?
First, calculate the GCD of 64 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 148 = 0 remainder 64 |
| 2 | 148 ÷ 64 = 2 remainder 20 |
| 3 | 64 ÷ 20 = 3 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 47 | 5546 |
| 157 and 58 | 9106 |
| 122 and 97 | 11834 |
| 62 and 15 | 930 |
| 194 and 115 | 22310 |