Least Common Multiple (LCM) of 64 and 153
The least common multiple (LCM) of 64 and 153 is 9792.
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 153?
First, calculate the GCD of 64 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 153 = 0 remainder 64 |
| 2 | 153 ÷ 64 = 2 remainder 25 |
| 3 | 64 ÷ 25 = 2 remainder 14 |
| 4 | 25 ÷ 14 = 1 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 55 | 2145 |
| 111 and 122 | 13542 |
| 36 and 16 | 144 |
| 89 and 114 | 10146 |
| 173 and 33 | 5709 |