Least Common Multiple (LCM) of 64 and 152
The least common multiple (LCM) of 64 and 152 is 1216.
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 152?
First, calculate the GCD of 64 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 152 = 0 remainder 64 |
| 2 | 152 ÷ 64 = 2 remainder 24 |
| 3 | 64 ÷ 24 = 2 remainder 16 |
| 4 | 24 ÷ 16 = 1 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 65 | 2405 |
| 96 and 38 | 1824 |
| 123 and 197 | 24231 |
| 73 and 64 | 4672 |
| 100 and 94 | 4700 |