Least Common Multiple (LCM) of 152 and 188
The least common multiple (LCM) of 152 and 188 is 7144.
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 188?
First, calculate the GCD of 152 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 188 = 0 remainder 152 |
| 2 | 188 ÷ 152 = 1 remainder 36 |
| 3 | 152 ÷ 36 = 4 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 68 | 2448 |
| 102 and 111 | 3774 |
| 114 and 89 | 10146 |
| 169 and 191 | 32279 |
| 76 and 99 | 7524 |