Least Common Multiple (LCM) of 153 and 191
The least common multiple (LCM) of 153 and 191 is 29223.
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 191?
First, calculate the GCD of 153 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 191 = 0 remainder 153 |
| 2 | 191 ÷ 153 = 1 remainder 38 |
| 3 | 153 ÷ 38 = 4 remainder 1 |
| 4 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 90 | 180 |
| 110 and 12 | 660 |
| 165 and 50 | 1650 |
| 106 and 149 | 15794 |
| 135 and 132 | 5940 |