Least Common Multiple (LCM) of 96 and 152
The least common multiple (LCM) of 96 and 152 is 1824.
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 96 and 152?
First, calculate the GCD of 96 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 152 = 0 remainder 96 |
| 2 | 152 ÷ 96 = 1 remainder 56 |
| 3 | 96 ÷ 56 = 1 remainder 40 |
| 4 | 56 ÷ 40 = 1 remainder 16 |
| 5 | 40 ÷ 16 = 2 remainder 8 |
| 6 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 86 | 9546 |
| 61 and 27 | 1647 |
| 135 and 41 | 5535 |
| 170 and 122 | 10370 |
| 62 and 199 | 12338 |