Least Common Multiple (LCM) of 75 and 152
The least common multiple (LCM) of 75 and 152 is 11400.
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 75 and 152?
First, calculate the GCD of 75 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 152 = 0 remainder 75 |
| 2 | 152 ÷ 75 = 2 remainder 2 |
| 3 | 75 ÷ 2 = 37 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 139 | 16541 |
| 81 and 63 | 567 |
| 105 and 107 | 11235 |
| 157 and 49 | 7693 |
| 157 and 37 | 5809 |