Least Common Multiple (LCM) of 153 and 187
The least common multiple (LCM) of 153 and 187 is 1683.
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 187?
First, calculate the GCD of 153 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 187 = 0 remainder 153 |
| 2 | 187 ÷ 153 = 1 remainder 34 |
| 3 | 153 ÷ 34 = 4 remainder 17 |
| 4 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 66 | 1980 |
| 199 and 121 | 24079 |
| 158 and 133 | 21014 |
| 105 and 70 | 210 |
| 197 and 138 | 27186 |