Least Common Multiple (LCM) of 108 and 152
The least common multiple (LCM) of 108 and 152 is 4104.
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 108 and 152?
First, calculate the GCD of 108 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 152 = 0 remainder 108 |
| 2 | 152 ÷ 108 = 1 remainder 44 |
| 3 | 108 ÷ 44 = 2 remainder 20 |
| 4 | 44 ÷ 20 = 2 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 132 | 1848 |
| 180 and 95 | 3420 |
| 97 and 45 | 4365 |
| 89 and 42 | 3738 |
| 87 and 50 | 4350 |