Least Common Multiple (LCM) of 153 and 188
The least common multiple (LCM) of 153 and 188 is 28764.
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 153 and 188?
First, calculate the GCD of 153 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 188 = 0 remainder 153 |
| 2 | 188 ÷ 153 = 1 remainder 35 |
| 3 | 153 ÷ 35 = 4 remainder 13 |
| 4 | 35 ÷ 13 = 2 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 174 | 9570 |
| 125 and 96 | 12000 |
| 187 and 79 | 14773 |
| 129 and 60 | 2580 |
| 14 and 112 | 112 |