Least Common Multiple (LCM) of 193 and 151
The least common multiple (LCM) of 193 and 151 is 29143.
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 193 and 151?
First, calculate the GCD of 193 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 151 = 1 remainder 42 |
| 2 | 151 ÷ 42 = 3 remainder 25 |
| 3 | 42 ÷ 25 = 1 remainder 17 |
| 4 | 25 ÷ 17 = 1 remainder 8 |
| 5 | 17 ÷ 8 = 2 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 183 | 2745 |
| 155 and 48 | 7440 |
| 164 and 11 | 1804 |
| 141 and 63 | 2961 |
| 139 and 58 | 8062 |