Least Common Multiple (LCM) of 152 and 96
The least common multiple (LCM) of 152 and 96 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 152 and 96?
First, calculate the GCD of 152 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 96 = 1 remainder 56 |
| 2 | 96 ÷ 56 = 1 remainder 40 |
| 3 | 56 ÷ 40 = 1 remainder 16 |
| 4 | 40 ÷ 16 = 2 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 157 | 19782 |
| 140 and 24 | 840 |
| 130 and 26 | 130 |
| 98 and 146 | 7154 |
| 18 and 25 | 450 |