Least Common Multiple (LCM) of 153 and 64
The least common multiple (LCM) of 153 and 64 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 153 and 64?
First, calculate the GCD of 153 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 64 = 2 remainder 25 |
| 2 | 64 ÷ 25 = 2 remainder 14 |
| 3 | 25 ÷ 14 = 1 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 101 | 2020 |
| 33 and 62 | 2046 |
| 93 and 180 | 5580 |
| 190 and 164 | 15580 |
| 147 and 141 | 6909 |